find the inverse of this function and verify by using the composition of functions

f(x)= -3/x-3

Answers

Answer 1

Answer:

f(x)^-1 = 3x-3/x

Step-by-step explanation:

f(x) =-3/x-3

y= -3/x-3

x=-3/y-3

-3= (y-3)x

-3= xy-3x

-xy=-3x + 3

y= -3x +3/x

y= 3x-3/x

f(x)^-1 = 3x-3/x


Related Questions

Marco scored 20 points at the basketball game . If this is 40% of the total score, what was the total score for the basketball game ?

Answers

The total score for the basketball game was 50 points.

What is percentage?

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

Points scored by Marco in basketball game = 20

Also, points scored by Marco is 40% of the total score,

Implies that,

40% = 20

1 % = 20 / 40

To determine total score, find value of 100%,

100 % = (20 / 40) x 100

          = 50

The total score for the basketball game was 50.

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please help!! I'm going to fail!! ​

Answers

B ( the second one)

Answer:

3rd one

Step-by-step explanation:

look t the form x equals up to a diviser

A ball is tied to a string and swung in a horizontal circle with a tangential speed of 2.5 m/s. The length of the string is 1.5m. Calculate the ball’s centripetal acceleration.

Answers

Answer:

[tex]a_c=4.17\ m/s^2[/tex]

Step-by-step explanation:

Centripetal Acceleration

It's the acceleration of an object moving in a uniform circular motion that pushed the object toward the center.

Its magnitude can be calculated as follows:

[tex]\displaystyle a_c=\frac{v^2}{r}[/tex]

Where:

v = tangential speed

r  = radius of the circle

The ball is tied to a string describing a circular motion with a radius of r=1.5 m. The tangential speed is v=2.5 m/s, thus the acceleration is:

[tex]\displaystyle a_c=\frac{2.5^2}{1.5}[/tex]

[tex]\displaystyle a_c=\frac{6.25}{1.5}[/tex]

[tex]\mathbf{a_c=4.17\ m/s^2}[/tex]

A recipe for 1 batch of spice mix says, “Combine 3 teaspoons of mustard seeds, 5 teaspoons of chili powder, and 1 teaspoon of salt.” How many batches are represented by the diagram? Explain or show your reasoning.

Answers

Answer:

There is no diagram for our observation. Please refine your question next time.

Step-by-step explanation:

Problem is in pictures !

Answers

Answer:

its A my bro mark me brainleist please

Step-by-step explanation:

Can you help me

(1). If f(x)=|x−5|+3, find f(2).


11


6


4


0

(2). If f(x)=8−3|x+2|, find f(−6).


−16


−4


4


20

(3). What is the turning point of the graph of f(x)=|x−2|+3?


(2, −3)

(2, 3)

(−3, 2)

(3, 2)

Answers

(1).

f(x) = |x − 5| + 3

f(2) = |2 − 5| + 3 = |−3| + 3 = 3 + 3 = 6

(2).

f(x) = 8 − 3|x + 2|

f(−6) = 8 − 3|−6 + 2| = 8 − 3|−4| = 8 − 3·4 = 8 −  12 = − 4

(3).

For f(x) = |x − h| + k the turning point is (h, k), so:

f(x) = |x − 2| + 3   ⇒  the turning point is: (2, 3)

The value of f (2) will be;

⇒ f(2) = 6

The value of f (- 6) will be;

⇒ f(-6) = 4

The turning point of the graph will be;

⇒ (2, 3)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

1) The function is,

⇒ f(x) = |x−5| + 3

2) The function is,

⇒ f(x) = 8 - 3 |x+ 2|

3) The function is,

⇒ f(x) = |x−2| + 3

Now,

1) The function is,

⇒ f(x) = |x−5| + 3

Put x = 2;

⇒ f (2) = |2 - 5| + 3

⇒ f (2) = 3 + 3

⇒ f(2) = 6

2) The function is,

⇒ f(x) = 8 - 3 |x+ 2|

Put x = - 6;

⇒ f (- 6) = 8 - 3 |- 6 + 2|

⇒ f (-6) = 8 - 3 × 4

⇒ f(-6) = 8 - 12

⇒ f (- 6) = - 4

3) The function is,

⇒ f(x) = |x−2| + 3

We know that;

Turning point of the function f (x) = |x - h| + k are (h, k)

So, By comparing we get;

The turning point of the graph of f(x) = |x−2| + 3 are (2, 3).

Thus, The value of f (2) will be;

⇒ f(2) = 6

The value of f (- 6) will be;

⇒ f(-6) = 4

The turning point of the graph will be;

⇒ (2, 3)

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What is the solution set for this inequality -4x + 62 < -18

Answers

Answer:

x > 20

Step-by-step explanation:

-4x + 62 < -18

Add subtract 62 from both sides

-4x < -80

We can flip the sign and take away the negatives if both sides are negative.

4x > 80

Divide both sides by 4

x > 20

In a certain chemical, the ratio of zinc to copper is 4 to 17. A jar of the chemical contains 357 grams of copper. How many grams of zinc does it contain?

Answers

Answer:84

Step-by-step explanation:

This is your perfect answer.


Moles Cu = 300 g x 1 mol Cu/63.55 g = 4.72 moles Cu
Moles Zn = 4/15(4.72) = 1.26 moles
mass Zn = 1.26 moles x 65.38 g/mol = 82.3 g

ASAP SOMENW HELP ME PLS

Answers

Answer:

4.2

Step-by-step explanation:

Ok the points are (-1, 2) and (1, -2)

Put it in the formula

d = [tex]\sqrt{(1 - -1)^2 + (-2 - 2)^2} \\\sqrt{(2)^2 + (-4)^2} \\\sqrt{2 + 16} \\\sqrt{18} \\[/tex]

√18 = 4.2426 ≈ 4.2

Hope this helps ya!!

Nancy and bill collect coins. Nancy has x coins. Bill has 6 coins fewer than times the number of coins nancy has. Write and simplify an expression for the total number of coins nancy and bill have

Answers

Answer:

Total number of coins Nancy and bill have = 6x - 5

Step-by-step explanation:

Nancy and bill collect coins. Nancy has x coins. Bill has 5 coins fewer than five times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and bill have . Simplify your answer .

Let

Number of Nancy's coins = x

Number of Bill's coins = 5x - 5

Total number of coins Nancy and bill have = Number of Nancy's coins + Number of Bill's coins

= x + (5x - 5)

= x + 5x - 5

= 6x - 5

Total number of coins Nancy and bill have = 6x - 5

PLEASE HELP ILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER
An adult can take 400 mg of ibuprofen. Each hour, the amount of ibuprofen decreases by 25%.
a. Write an equation of this exponential situation for the total amount of ibuprofen, y, in terms of the number of hours, x.

b. Does this situation represent exponential growth or decay? Explain how you know.

Answers

Answer:

a) y = 400(0.75) ^x

b) Exponential Decay

Step-by-step explanation:

An adult can take 400 mg of ibuprofen. Each hour, the amount of ibuprofen decreases by 25%.

a. Write an equation of this exponential situation for the total amount of ibuprofen, y, in terms of the number of hours, x.

This situation above is an exponential decay situation.

The forms is given as

y = a(1 - r) ^x

Where

y = the total amount of ibuprofen

a = initial amount of ibuprofen = 400mg

r = Decay rate = 25%

x = Time in hours

Hence, the Equation is written as

y = 400(1 - 0.25) ^x

y = 400(0.75)^x

b. Does this situation represent exponential growth or decay? Explain how you know

This situation represents an exponential decay because we are told in the question that each hour, the amount of ibuprofen DECREASES by 25%. Decrease in this context means Decay.


Help as quick as possible:))

Answers

Answer:

Quadrant IV..............

what is 4.5+1.5k=18-3k

Answers

Answer:  k = 3

Step-by-step explanation:

1

Combine multiplied terms into a single fraction

4

.

5

+

1

.

5

Answer:

Thr33

Step-by-step explanation:

3

Which orchard would be cheaper to visit if the class has 12 students?
Orchard A) admission costs $9 per person and 3 chaperones are required.
Orchard B) the cost is $10 per person, but only 1 chaperone is required.

Answers

Answer: orchard B

Step-by-step explanation: (orchard A) if you were to only bring the 12 students, the cost would be $108. But since it requires 3 chaperones you’d add 3 to the already 12 students making the full cost $135.

(Orchard B) if you were take only the 12 kids to the orchard it would cost you $120 but because it requires ONLY 1 chaperone, the final cost would be $130. allowing it to be $5 dollars less than what Orchard A would cost.

Graph the rational function f of x equals quantity 2 times x minus 3 end quantity divided by quantity x plus 4 end quantity.

A rational function is graphed in the first quadrant, and in the third and fourth quadrant is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 2 and approaches an imaginary vertical line at x equals 4.

A rational function is graphed in the second quadrant, and in the first and third quadrant is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 2 and approaches an imaginary vertical line at x equals negative 4.

A rational function is graphed in the second quadrant, and in the fourth quadrant is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 2 and approaches an imaginary vertical line at x equals 1.

A rational function is graphed in the first quadrant, and in the third quadrant is another piece of the graph. The graph approaches an imaginary horizontal line at y equals 2 and approaches an imaginary vertical line at x equals negative 1.

Answers

Answer:

A The answer is A

Step-by-step explanation:

My question is in the picture please give an explanation. Thanks!

Answers

It is the last answer
2x-2+3x because u can add 2x and 3x which will be 5x so it will be
5x-2
Hope this helps!!!

FOr 82 points ;) Thomas draws a triangle with side lengths of 5 centimeters and 12 centimeters and one angle of 90°. The length of the longest side of the triangle is not known.

How many different triangles can be drawn with these dimensions? Explain your reasoning

Answers

Answer:

do u go to dutchtown

Step-by-step explanation:c

A vendor pays a rock band 1/3 of the total profit from T-shirts and sweatshirts sold at every concert. The vendor paid the rock band $726 after the last concert. If the profit from T-shirts sales was $1,632, what was the profit from sweatshirt sales? Enter your answer in the box.

Answers

Answer:

$546

Step-by-step explanation:

726 is 1/3. 3/3 is 2178. - 1632= 546.

George went on a trip to visit the Mariana Islands. He left at 5:30pm on Friday night stayed 3 night's and returned at 11:30am on Monday. how many hours was George gone?

Answers

You need two people to answer to mark the other Brainlyest

A concert charges $5 for a children's ticket and $11 for an adult’s ticket. One Saturday, the theater sold 1200 tickets for $10,800. How many children’ tickets and adults’ tickets were sold?

Answers

Answer:

i think 15 kid and 18 aduits

Step-by-step explanation:

Answer:

800 children’s ticket were sold and 400 adult tickets were sold

Step-by-step explanation: using elimination

variables-

amount of children’s ticket sold: C

amount of adult tickets sold: A

equations-

A+C=1200

5A+11C=10,800

solving-

(A+C=1200) -5 —> -5A-5C=-6000

5A+11C= 10,800

use elimination on those two equation and you get C=800, A=400.

to check you plug in the numbers into one of the equations, doesn’t matter which one.

Enter the equation of the line in slope-intercept form.
The line passes through (1,7) and (2,19).
The equation of the line is

Answers

Answer:

ajfbgaulfgsuidglml

Step-by-step example:

What is the equation of the function:(-1,3),(0,4),(2,6)
A) f(x)= x^2 +x -4

Answers

(0,4)
hope this helped

What integer value of n will satisfy n + 10 > 11 and -4n > -12?

Answers

Answer:

2

Step-by-step explanation:

Please help me solve these problems, or as many as you can. I need them in step by step..

5. 36d¹⁰/6d⁵

6. [(4³)²]²

7. 5³•7⁵•10/5•7⁴

8. (2²)⁷

9. (8v⁹)⁵

Answers

Answer:

5. 36d¹⁰/6d⁵ = 6d⁵

6. [(4³)²]² = 4⁷

7. 5³•7⁵•10/5•7⁴ = 5²•7• 10

8. (2²)⁷ = 2⁹

9. (8v⁹)⁵ = 8⁵V¹⁴

Step-by-step explanation:

When solving questions having indices, we follow certain rules in Mathematics

a) a^b/a^c = a^b-c

b) (a^b)^c = a^b+ c

Hence:

5. 36d¹⁰/6d⁵ =

(36/6)^d^10-5 = 6d⁵

6. [(4³)²]²

= (4)^3 + 2+ 2 = 4⁷

7. 5³•7⁵•10/5•7⁴

= (5)^3-1 • (7) ^5-4• × 10

= 5²•7•10

8. (2²)⁷

= (2)^2 + 7

= 2⁹

9. (8v⁹)⁵

= 8⁵•v^9+5

= 8⁵v¹⁴

Tritan played in a football game he caught the ball at the goal line and ran forward 30 yards before he was tackled how could tristansrun be represented as a fraction and decimal of the whole football field

Answers

Answer:

As a fraction = [tex]\dfrac{30}{100}[/tex]

As a decimal = 0.3

Step-by-step explanation:

Recall that: The total yard of a football field = 100 yards

Tritan played in a football game he caught the ball at the goal line and ran forward 30 yards before he was tackled,

As a fraction;

Tristan run can be represented as = number of run from goal-line/ total length of the field

= [tex]\dfrac{30}{100}[/tex]

As a decimal= 0.3

how to factor this completely?
25v3 - 40v2 + 35v – 56​

Answers

Answer:

Factor 25v3−40v2+35v−56

25v3−40v2+35v−56

=(5v−8)(5v2+7)

Answer:

(5v−8)(5v2+7)

NOT TO
SCALE
Jo
The two containers are mathematically similar in shape.
The larger container has a volume of 3456 cm and a surface area of 1024 em'.
The smaller container has a volume of 1458 em.
Calculate the surface area of the smaller container,
[4]

Answers

Answer:

455.1 cm²

Step-by-step explanation:

The two containers have the following;

Large container

Volume : 3456 cm³

Surface area : 1024 cm²

Small container

Volume : 1458 cm³

Surface area : ?

If the two containers are mathematically similar then first find the volume scale factor

Volume of large/ volume of small

3456/1024 = 3.375

Length scale factor will be cube root of volume scale factor

∛3.375 = 1.5

Area scale factor is a square of the length scale factor

=1.5² = 2.25

=Surface area of the small container will be :

Larger area = 2.25 * small area

1024 = 2.25 * small area

1024/2.25 = small area

Surface area of the smaller container 455.1 cm².

Is this set of ordered pairs a function ?
(9,9) (7,4) (1,2) (2,6) (5,0)

Answers

Answer:

Yes

Step-by-step explanation:

Every x value has one y-value.

Answer:

yes

Step-by-step explanation:

yes it is because each of the x has a unique y

9 has 9

7 has 4

1 has 2

2 has 6

5 has 0

Expand and simplify
(4 + 2)(6-12)
Give your answer in the form b+cV2

Answers

Note: Consider the expression is [tex](4+\sqrt{2})(6-\sqrt{2})[/tex].

Given:

[tex](4+\sqrt{2})(6-\sqrt{2})[/tex]

To find:

The value of given expression in the form of [tex]b+c\sqrt{2}[/tex].

Solution:

We have,

[tex](4+\sqrt{2})(6-\sqrt{2})[/tex]

Using distributive property, we get

[tex]=4(6-\sqrt{2})+\sqrt{2}(6-\sqrt{2})[/tex]

[tex]=4(6)+4(-\sqrt{2})+\sqrt{2}(6)+\sqrt{2}(-\sqrt{2})[/tex]

[tex]=24-4\sqrt{2}+6\sqrt{2}-2[/tex]

On combining like terms, we get

[tex]=(24-2)+(6\sqrt{2}-4\sqrt{2})[/tex]

[tex]=22+2\sqrt{2}[/tex]

On comparing with [tex]b+c\sqrt{2}[/tex], we get

[tex]a=22,b=2[/tex]

Therefore, the required form is [tex]22+2\sqrt{2}[/tex].

SIMPLE CORDINATES. BRAINLIEST, 5 STAR, AND A LIKE IN RETURN. SHOW SOME WORK PLEASE THIS IS DUE SOON.

Answers

Answer:

D they both are correct, because it is reflected equally from both coordinates.

Step-by-step explanation:

Other Questions
I need help with this question I cant figure it out At the recommendation of his veterinarian, Xavier decides to place his cat on a diet. His cat's original weight was 19.4 pounds. After Xavier put his cat on a diet, the cat lost weight at a constant rate. The table below shows the cat's weight, w, and the months, m, since he began his diet. Months Weight (lb.) 1 18.26 2 17.12 3 15.98 4 14.48 Which equation models the cat's weight after m months? check whether [tex] \frac{4}{5} [/tex]is terminating or non terminating repeating decimal. Which statement accurately describes the relationship between weight andmass?A. Weight is an object's mass multiplied by its diameter.B. Mass is an object's weight multiplied by the amount ofgravitational force acting on that object.C. Mass is an object's weight multiplied by its diameter.D. Weight is an object's mass multiplied by the amount ofgravitational force acting on that object. Janelle is preparing to audition for a position in her community dance company. She has been practicing a series of dance steps from a performance she did the previous year. What two major parts of her brain will be most active as she practices? (1 point)Thalamus and pituitary glandHypothalamus and brain stemCerebellum and the temporal lobeMedulla oblongata and pons(WILL GIVE BRAINLIEST!!) Why is the United States been so opposed to communism Can stories have the same power as speeches when it comes to fighting for an issue SOMEONE HELP!! PLEASE Which of the following could lead to type 2 diabetes? Sexual activity Smoking Obesity Taking drugs A country or nation in which the citizens have no say in the government isA.AutocraticB.FederalOligarchicD.Democratic I need help it okay if you try your best Bess raced across the gym floor. WHAP! She hit the shuttlecock over the net towards Pats far corner. Bess quickly returned to the center court so she was ready to run in any direction.WHAP! Pat returned to the volley. Bess stepped sideways and tapped the shuttlecock gently. It popped over the net. Pat ran forward quickly. But it was too late. Pat fell under the net and slid across the floor to Besss side.Is it likely that:A. Bess and Pat are playing tennisB. Pat returned the shuttlecock and is ready for the next hitC. Bess thinks ahead to the next shot while she plays the game An element in group 3 that is a good conductor of electricity. A company that sends email advertising messages to millions of individuals without their permission violates? what was the condition of Nepal when renaissance period began in Europe Where are chlorofluorocarbons (CFCs) found? Why were they banned? 10.0 grams of a gas occupies 12.5 liters at a pressure of 42.0 mm Hg. What is the volume when the pressure has increased to 75.0 mm Hg? 6.72 L 7.00 L 22.3 L 0.143 L If _______________ is disregarded all objects dropped near surface of planet fall with same acceleration. The arguments below seek to prove that the narrator is insane, Which of these arguments is untrue?(this is for the story tell tale heart)-The narrator was so driven to murder the old man because of his eye that he couldn't commit the murder as long as his eye was not visible.-The narrator panicked as soon as the police arrived at his door, fearing that an arrest was imminent-The narrator continued to hear the old man'a heartbeat, even after he murdered him and disassembled his body.-The narrator enjoyed stalking the old man and was proud of the way he stalked, undetected. Fill in each blank with the next note in the scale. READ THE INSTRUCTIONS on how to enter the note names.Eb-type your answer...type your answer...type your answer...type your answer...type your answer...type your answer...-Eb The Columbian Exchange was responsible for which of the following?i. the spread of ideas and cultureii. the exchange of new foods across continentsiii. the spread of diseaseA.i. onlyB.ii. onlyC.i. and ii. onlyD.i., ii., and iii.