what is the inverse of the function

What Is The Inverse Of The Function

Answers

Answer 1

Answer:

f⁻¹(x) = x+2 / 3

Step-by-step explanation:

Given function is:

f(x) = 3x-2

We have to find the inverse of the given function.

Put y = f(x)  in given function, we have

y =3x-2

Adding 2 to both sides of the above equation we have

y+2 = 3x-2+2

y+2 = 3x

Dividing by 3 to both sides of the above equation, we have

y+2 / 3 = 3x / 3

y+2 / 3 = x

Put x = f⁻¹(y) in the above equation we have

y+2 / 3 = f⁻¹(y)

Swapping equation we have

f⁻¹(y) = y+2 / 3

Replace y with x we have

f⁻¹(x) = x+2 / 3   which is the answer.


Related Questions

Jordan can make 18 cupcakes (the y-value) with one cup of flour (the x value). How many cupcakes can he make with 5 cups of flour?

Answers

Answer:

90

Step-by-step explanation:

Hope it helps :)

Have a good day/night

Brainliest pls?

Give an ordered pair on the graph and explain it’s meaning in the real world context.

Answers

Step-by-step explanation:

See my attached graph for what this problem looks like. I used the equation y=5x because each bargain DVD (x) is $5 and equals the total cost (y).

One ordered pair would be (1,5). This means that 1 bargain DVD costs $5.

I hope this helps!

What is the decimal, percent, and fraction?

Answers

98/100, 98%, 0.98                      

That's it.

00.98 98% 98/100


Because there is only 2 squares open out of all

Accessories Central is having a summer clearance on sunglasses. Maria wants to buy a pair of sunglasses that cost $48 with a 65% discount. The same pair of sunglasses costs $38 with a 55% discount at Shades, Inc. What is the price difference between Accessories Central and Shades, Inc?

Answers

Answer:

Step-by-step explanation:

First, find the cost of both pairs of sunglasses after the discounts

65% = 65/100 = 0.65

($48)(0.65) = $31.20

55% = 55/100 = 0.55

($38)(0.55) = $20.90

Then subtract the bigger cost (31.20) from the smaller cost (20.90)

$31.20 - $20.90 = $10.30

$10.30 is your price difference.

Question 1 The first who answer it will get a brainliest answer.

Answers

Answer:

synthetic fibers are more durable than most natural fibers and will readily pick-up different dyes. In addition, many synthetic fibers offer consumer-friendly functions such as stretching, waterproofing and stain resistance. Sunlight, moisture, and oils from human skin cause all fibers to break down and wear away.

pls help ill mark brainliest I dont have much points

Answers

Answer:

yes, they keep increasing by 2.

Answer:

Yes,

Step-by-step explanation:

The pattern does follow the plus 2 ratio.

What is the slope and y-intercept of this graph?​

Answers

The slope would be 4.

The Y-intercept is 2.

a 25 lb. bag of potatoes was selling for $12.00, The produce manager added a few pounds of potatoes to the bag, but did not change the price. The price of 25 lbs now was actually $10.00. How many pounds did the manager add to the bag?

Answers

Answer:

5 pounds was added

Step-by-step explanation:

PLEASE HELP! Geometry Question. Im stuck on how to get the answer. Brainiest for correct answer

Answers

Answer:

F. [tex] 4, 4\sqrt{3} [/tex]

Step-by-step explanation:

✔️Finding length of side s using:

[tex] cos(\theta) = \frac{adjacent}{hypotenuse} [/tex]

Where,

[tex] cos(\theta) = cos(60) = \frac{1}{2} [/tex]

Adjacent = s

Hypotenuse = 8

Plug in the values

[tex] \frac{1}{2} = \frac{s}{8} [/tex]

Multiply both sides by 8

[tex] \frac{1}{2} \times 8 = \frac{s}{8} \time 8 [/tex]

[tex] \frac{8}{2} = s [/tex]

[tex] 4 = s [/tex]

s = 4

✔️Finding length of side q using:

[tex] sin(\theta) = \frac{opposite}{hypotenuse} [/tex]

Where,

[tex] sin(\theta) = sin(60) = \frac{\sqrt{3}}{2} [/tex]

Opposite = q

Hypotenuse = 8

Plug in the values

[tex] \frac{\sqrt{3}}{2} = \frac{q}{8} [/tex]

Multiply both sides by 8

[tex] \frac{\sqrt{3}}{2} \times 8 = \frac{q}{8} \times 8 [/tex]

[tex] \frac{\sqrt{3}}{1} \times 4 = q [/tex]

[tex] 4\sqrt{3} = q [/tex]

[tex] q = 4\sqrt{3} [/tex]

Need help ASAP! Show work if you can it’s completely fine if not tho

Answers

Answer:

the answer is 133

Step-by-step explanation:

we do substitution

2*3^2=18

3^3=27

5(27-4)=115

27+115=133

PLEASE HELP I AM BEING TIMED!!

In the diagram how are angles AED and DEC related? choose all that apply

Options: They are vertical angles
They are supplementary angles
They are adjacent angles
They are right angles

Answers

Answer:

they are supplementary

Step-by-step explanation:

The angles AED and DEC are adjacent angles option (C) They are adjacent angles is correct.

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called an "Angle."

It is given that:

The diagram is shown in the picture.

As we can see in the diagram,

The angle AED and DEC are sharing a common vertex which means they are adjacent angles.

Thus, the angles AED and DEC are adjacent angles option (C) They are adjacent angles is correct.

Learn more about the angle here:

brainly.com/question/7116550

#SPJ2

Can y’all help me??!

Answers

Answer:

c=18.50h+20

Step-by-step explanation:

YOU WILL BE BRAINLEST Question 12
Determine if the sequence is arithmetic.
-8,-4, 0, 4, 8, 12......
O True
h
False

Answers

Answer False

Yeah I correct

Amino acids are used to build _______?

Answers

Answer:

Polypeptides

Step-by-step explanation:

A sequence of amino acids are joined together by peptide bonds to form a polypeptode chain;

This chain then folds and twists (via intramolecular forces/attractions) into a 2D or 3D shape and may even join with another polypeptide chain to form a protein.

Bryce grows at a rate five times as fast as Drew which algebraic equation best represent Bryce growth rate

Answers

Answer:

B = 5D

Step-by-step explanation:

B stands for Bryce, & D stands for Drew.

What problems would you encounter if the ladder were too short or too long?

Answers

Bro if the ladder is too short it’s to short you need a longer one id the ladder to longer you need a shorter one that doesn’t make sense to me I don’t understand what you were asking cssss

Got them.... I think the war is finally over..
Rat soldier: copy that
Rat Soldier: you know a bomb is gonna explode in approximately 5.4 seconds
...

Answers

Answer:

LOL THAT CAT POOR CAT

Step-by-step explanation:

nothing to see here

A hyena can run one over four of a mile in 22.5 seconds. At this rate, which equation can be used to determine how fast a hyena runs in miles per hour? (5 points)

one-fourth mile over twenty-two point five seconds = 40 miles per hour
twenty-two point five seconds over one-fourth mile = 40 miles per hour
one-fourth mile over twenty-two point five seconds = 90 miles per hour
twenty-two point five seconds over one-fourth mile = 90 miles per hour

Answers

200 miles in total?

unless the stuff you have down there is useless

Solve the inequality 2x−y⩾−5 for y. Which inequality represents the inequality in slope-intercept form?

Answers

Answer:

[tex]y\leq 2x+5[/tex]

This represents slope intercept form: y = mx + b

Step-by-step explanation:

[tex]2x - y \geq -5\\2x+5\geq y[/tex]

10x+5y=30

solve in the following format

(x,y)

Answers

Is 2x + y -6=0

Check the picture:

Kamal is 17 years older than Gina. Gina is 3 years younger than Rachelle. If the sum of their ages is 77, how old is Gina?

Answers

Answer:

Answer : Gina's age is 19 years.

Step-by-step explanation:

Kamal is 17 years older than Gina. Gina is 3 years younger than Rachelle.

Let Gina's age be x years

So Kamal’s age will be = x + 17

Rachelle’s age = x + 3

the sum of their ages is 77, Accordingly

x + x + 17 + x + 3 = 77

3x + 20 = 77

3x = 77 - 20

3x = 57

x = 57/3

x = 19

Thus Gina's age is 19 years,

Kamal’s age x + 17 = 19 + 17 = 36 years

Rachelle’s age x + 3 = 19 + 3 = 22 years

Gina = 19 years old

The midpoint of is point P at (−6,−2). If point E is at (2,−4), what are the coordinates of point F?

(−14,0)
(−10,−8)
(−5,3)
(−2,−3)

Answers

Answer:

(-2,3)

Step-by-step explanation:

(-6+2)/2 , (-2+-6)/2

(-2,3)

Answer:

its -2,-3

Step-by-step explanation:

because im smart,

please mark me brainliest

Anyone knows how to do this?!

Answers

Answer:

nope. Maybe...find the angle? hey you said anyone know how to do this so this is my answer. nope. but I gave you a guess how to do this.

Step-by-step explanation:

O_O?

An Electronics store has a TV on sale for $299. If the sales tax is 5.1%, what is the total cost of the TV? Round to the nearest cent. Use money notation to enter your answer.

Answers

Answer:

$314.25

Step-by-step explanation:

Answer:

$314.25

Step-by-step explanation:

First you would do 299 x 0.051 to get 15.249 dollars.

Then you would add that to your original 299 dollar value to get

314.249, but you have to round it up to get $314.25 :D

Heyyy Friends!! Whats 9+(1*1)+6=??

Answers

Answer:

16 :)

Step-by-step explanation:

what is the measure of angle ABD?

Answers

Answer:

118

Step-by-step explanation:

7x-4=6x+5

x=9

7(9)-4+6(9)+5

Molly invested $50,000 in various stocks and bonds. She earned 15% on the bonds and 18% on the stocks. Molly's total profit on both types of investments was $8700, how much of the $50,000 did she invest in bonds?

Answers

Answer:

$10000

Step-by-step explanation:

Given that:

Molly invested $50,000 in various stocks and bonds.

She earned 15% on bonds and 18% on stocks

Let the bonds be denoted by a

However, her profit on both types of investment is said to be $8700

We are to find how much of the $50,000 did she invest in bonds.

i.e

0.15a + 0.18(50000-a)  = 8700

open brackets

0.15a + 9000 - 0.18a = 8700

Collect like terms

0.15a - 0.18a = 8700 - 9000

-0.03a  = -300

Divide both sides by(-0.03); we get

a = 10000

Thus, Molly invested $10000 in the bonds.

the question is in the picture. please help

Answers

Answer:

Step-by-step explanation:

b

Answer: Select answer B

Kiran walked at a constant speed. He walked 1 mile in 15 minutes. Which of these equations represents the distance d (in miles) that Kiran walks in t minutes?

Answers

Answer: [tex]d=\dfrac{t}{15}[/tex], where d= distance that Kiran walks in t minutes.

Step-by-step explanation:

Given: Kiran walked at a constant speed.

He walked 1 mile in 15 minutes.

The, distance walked by Kiran in 1 minute = [tex]\dfrac1{15}[/tex] mile

The distance that Kiran walks in t minutes = [tex]t\times\dfrac{1}{15}[/tex] miles

If d= distance that Kiran walks in t minutes

The required equation: [tex]d=\dfrac{t}{15}[/tex]

Pls Help me.
+
6



5

Answers

Answer:

yall rly need to start attching pictures

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