Find the inverse of function f. f(x)=9x+7
A. F-1(x)= -9x-7
B.F-1(x)= 1/9x-7/9
C.F-1(x)= 7x+9
D.F-1(x)= 7/9x-1/9

Answers

Answer 1

Answer:

B

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 9x + 7 ( subtract 7 from both sides )

y - 7 = 9x ( divide all terms by 9 )

[tex]\frac{1}{9}[/tex] y - [tex]\frac{7}{9}[/tex] = x

Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus

[tex]f^{-1}[/tex] (x) = [tex]\frac{1}{9}[/tex] x - [tex]\frac{7}{9}[/tex] → B


Related Questions



One positive number is one-fifth of another number. The difference between the two numbers is 328, find
the numbers.

Answers

Answer:

The numbers are 410 , 82

Step-by-step explanation:

Let the another number be x

Positive number = [tex]\frac{1}{5}x[/tex]

Their difference = 328

[tex]x - \frac{1}{5}x=328\\\\\frac{x*5}{1*5}-\frac{1}{5}x=328\\\\\frac{5x-x}{5}=328\\\\\frac{4x}{5}=328\\\\x=328*\frac{5}{4}\\\\x=82*5\\[/tex]

x = 410

Positive number = [tex]\frac{1}{5}*410=82[/tex]

The numbers are 410 , 82

16+4|5x-4(x+2)|=7-2x

Answers

there are no solutions

There are no solutions like kathy0315 said

-2x + 7 = x-2
What is this ? In the most simplest steps possible

Answers

Answer:

Let's solve your equation step-by-step.

−2x+7=x−2

Step 1: Subtract x from both sides.

−2x+7−x=x−2−x

−3x+7=−2

Step 2: Subtract 7 from both sides.

−3x+7−7=−2−7

−3x=−9

Step 3: Divide both sides by -3.

−3x /−3      −9 /−3

Answer:

x=3

                                            Hope this helps

                                                     (>'-'<)    

Jordan changed the dimensions of a rectangular picture measuring 20 cm wide by 25 cm high by a scale factor of 5/2.

Does this scale factor represent a reduction or enlargement and what is the new width of the picture?

1. This is an enlargement and the new width is 50 cm.
2. This is a reduction and the new width is 8 cm.
3. This is an enlargement and the new width is 62.5 cm.
4. This is a reduction and the new width is 10 cm.

Answers

Answer:

I believe it's an enlargement, because 5/2 is more than one whole.

Step-by-step explanation:

Step-by-step explanation:

Positive it's 1 or 3 because it's an enlargement


You want to paint your basement bright orange for your birthday party. The orange paint shade you like uses 3 parts red and 5 parts yellow. How many cups of red would you
need if you want 1 gallon of paint? (There are 2 cups in 1 pint, 2 pints in 1 quart, and 4 quarts in 1 gallon.)

Answers

Answer:

Step-by-step explanation:

6 cups red

Answer:

Step-by-step explanation:

6 cups red

Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2x. She makes these two statements: 1. As x increases infinitely, the y-values are continually doubled for each single increase in x. 2. As x decreases infinitely, the y-values are continually halved for each single decrease in x. She concludes that there are no limits within the set of real numbers on the range of this exponential function. Which best explains the accuracy of Geraldine's statements and her conclusion?

Answers

Answer:

"as x increases infinitely, the y-values are continually doubled for each single increase in x".

Step-by-step explanation:

Given the exponential equation f(x) = 2x of which Geraldine is asked to explain the limits on the range, the expression that best explains the accuracy of Geraldine's statements and her conclusion is that "as x increases infinitely, the y-values are continually doubled for each single increase in x".

for example let y = f(x) so thet y = 2x

for every va;ues of x, y will be doubled as shown;

If x = 1

y = 2(1) = 2

If x = 2

y = 2(2) = 4

If x = 3

y = 2(3) = 6

I can be seen that the value of y doubles for all values of x hence making her first statement accurate.

The second statement 'As x decreases infinitely, the y-values are continually halved for each single decrease in x'. is not totally right because the y values may not be halved for some values of x as x increases.

Her conclusion is not also right because there are  limits within the set of real numbers on the range of this exponential function. for every value of x, y will always tend to a real value.

choose the equation that represents the graph below A. y = -2x - 4 B. y equals 2x + 4 C. y equals -2 + 4 D. y = 2x - 4​

Answers

the answer is a. you can find this by looking at where the line touches the y axis, in this case the line touches as -4 so that’s our y intercept. then to find the slope you find two points that intersect at a coordinate and do rise over run. in this case we’ll use the points (0,-4) and (-2,0). from (0,-4) we go up two and left one to get to point (-2,0). note that if the line points left, the slope will be negative. once you put the parts together you get the equation y=-2x-4

What is X? −7x−8= -10x+4

Answers

Answer: x=4

-7x-8=-10x+4

+8 +8

-7x=-10x+12

+10x +10x

3x=12

3x/3=12/3

X=4

The cost y (in dollars) for x yards of fabric is represented by y=4x. Graph the equation.

Answers

Answer:

(0,0) (1,4) See the explanation below for the graph.

Step-by-step explanation:

f (0) = 4 x 0 = 0

f (1) = 4 x 1  =  4

(0,0) (1,4) * Remember X1 and Y1, X2 and Y2.

Can someone tell me where to graph this

Answers

Answer:

(7, -6)

Step-by-step explanation:

You will graph it at this point because the point is basically the origin and when you rotate it clockwise 90° it will end up in Quadrant IV.

Select the correct answer.
Find the value of g(7) for the function below.

g(x)= 7/8x-1/2


A. 49/8

B. 53/8

C. 60/7

D. 45/8

Answers

Answer:

D.  45/8

Step-by-step explanation:

The value of function g (7) is,

⇒ g(7) = 45/8

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Function is,

⇒ g(x) = 7/8x - 1/2

Now, Plug x = 7 in above equation,

⇒ g(x) = 7/8x - 1/2

⇒ g(7) = 7/8 (7) - 1/2

⇒ g(7) = 49/8 - 1/2

⇒ g(7) = 49/8 - 4/8

⇒ g(7) = 45/8

Thus, The value of function g (7) is,

⇒ g(7) = 45/8

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

A Store has 120 customers in 6 hours.What is the unit rate in customers per hour

Answers

Answer:

20

Step-by-step explanation:

120/6=20

Please help will give brainliest (please don’t answer if you don’t know it)

Answers

Answer:

it is 3 or 21

Step-by-step explanation:

because STUVW is equal to HGFED

the answer is 3, it is the same length as ST

How do you graph a piecewise defined function?

Answers

Answer:

hope it helps..

Step-by-step explanation:

1- Indicate on the x-axis the boundaries defined by the intervals on each piece of the domain.

2- For each piece of the domain, graph on that interval using the corresponding equation pertaining to that piece.

27. Which ordered pair fits the function h(x) = x2 + 3 ?
A) (3,9)
B) (2,4)
C) (-3,12)
D) (-2,-1)


B
С
D

Answers

I think it’s A because if you do 3 x 2 = 6 and if you do 6+3 it make 9

Ms. Pecho currently owes $637.50 simple interest
on a loan of $2500 at an annual interest rate of
17%. How long has she had the loan?

Answers

Answer:

Step-by-step explanation:1

1/2 years which is 1 year and 5 months.

Explanation:

The formula for simple interest is

You can either substitute the given values first and the solve for

T, or you can transpose the formula to have

T as the subject.

T=100xSIPR

T=100 x 637.50

T=100×637.502500×17

T=1.5

As time is always in years, this means it was for

112 years which is 1 year and 5

months

1. This year 60 out of 300 students at Irons Middle School signed up for art. Next year, enrollment is expected
to increase to 340 students. About how many students will likely sign up for art?

Answers

————-340 ——————————————

solution
2(x + 1) = 2x + 2.

Answers

Answer:

Infinity

Step-by-step explanation:

It is equal to nothing.

2x+2=2x+2

-2x     -2x    

2=0x+2

-2      -2

0=0

Answer:

( − ∞ , ∞ )

Step-by-step explanation:

Distribute the 2 in 2 (x+1)

2 ⋅ x = 2 x

2 ⋅ 1 = 2

Combine:

2 x + 2

Equation is now:

2 x + 2 = 2 x + 2

Subtract 2 from both sides of the equation:

2 x = 2 x

Divide both sides by 2:

x=x

Both sides of the equation are the same:

x = x

Any real number or:

( − ∞ , ∞ )

PLEASE HELP!!!!!!!!!!!!! I HAVE TO TURN THIS IN 5 MIN!!!!!!!!!!!!!!!!
WHATS THE ANSWER FOR THE QUESTION BELOW????

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The answer is choice C.

You could easily narrow it down by seeing that the y-intercept has decreased. Then the graph went from negative to a positive you have to multiply a negative by a negative to make it a positive.

Hello there! The correct asnwer is C. You can first elimenate the unsuitable answers then solve by doing the ¨equation¨.

Hope I helped! Have an amazing day!

Yours,

fellow brainiac

(ps. if I helped in a time efficient amount of time and answered correctly please mark brainliest, vote, comment, and rate!)

Love you! Byeeeeeee

this is My Home work and i don't know this one ​

Answers

Answer:

C

Step-by-step explanation:

Cuz the they are scared in the negative direction and theyre grouped around 4. Sry im bad at explaining things

Answer:

c. y = -x + 4

Step-by-step explanation:

Looking at the graph, the trend is decreasing as you move to the right, so you know that the slope has to be negative. Therefore (a) and (d) cannot be the answer since they both have positive slope.

You're only choice left is (b) and (c). (b) can't be the asnwer because averaging out the value at x=0 will give you a value greater than 3, therefore your y-intercept must be some number greater than 3. The only answer choice left is (c).

One day the temperature was 72°F. That night, the temperature was 44°F. What number represents the change in temperature?A. 22°FB. 32°FC. -38°F. -28°F

Answers

Answer:

-28*F, hope this helps!

Answer:

-28 F

Step-by-step explanation:

please give the other guy brainliest :))))

PLEASE HELP ASAP!!! RUNNING OUT OF TIME!! thank you!

Answers

the second option, on the second attachment

domain: -6<x<-2 or x>-2

range: -3[tex]\leq[/tex]y[tex]\leq[/tex]1 or 4<y<8

HELP ME NOW PLEASSEEE
A number line going from 2 to 3 in increments of StartFraction 1 over 10 EndFraction. Point C is between 2.3 and 2.4, point B is between 2.5 and 2.6, point A is between 2.8 and 2.9, point D is at 3.

A koala bear is approximately 2 5/6
feet tall. Which point on the number line represents this value?

A
B
C
D

Answers

Answer:

its A

Step-by-step explanation:

I got it right on edg 2020!!!!

Answer:

A

Step-by-step explanation:

just did the assigment good luck <3

A dealer bought an article for Rs1500 and sold it at 20 percent profit . what was rhe sale price of the article?

pls solve this question i will mark as a brainlist.​

Answers

[tex]\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}[/tex]

Given that , a dealer bought an article for Rs 1500 and sold it at a profit of 20% .

So , here ,

Cost price of the article = Rs 1500.Profit on the article = 20% .

Since the article is sold at profit , the Selling price of the article will equal to Cost price + 20% of cost price .

Firstly let's Calculate 20% of 1500 .

= 20% of Rs 1500 .

= 20/100 × Rs 1500 .

= Rs 300 .

Hence we can find now Selling price as ,

[tex]\boxed{\green{\bf Selling\: Price=Cost\:Price+Profit}}[/tex]

⇒ SP = CP + Profit .

⇒ SP = Rs ( 1500 + 300 ).

⇒ SP = Rs 1800 .

Hence the required answer is Rs 1800.

The residents of a city voted on whether to raise property taxes. The ratio of yes to no votes was 3 to 5. If there were 4465 no votes, what was the total number of votes?

Answers

Answer:

2679 number of yes votes, 4465 number of yes votes. The total number of votes would be 7144. Hope this helps and if possible mark me as brainliest please. THANK YOU

I need help with the #1 question. please help me

Answers

Answer:

The answer to number 1 is geometric sequence of A>

Step-by-step explanation:

Solve for x.
–2(x - 1) - x + 3 = -1
Anyone wanna help?

Answers

x=2
explanation:
simplify to get -3x+5=-1
calculate to get -3x= -1-5
-3x=-6
x=2

Answer:

-2(x-1) - x + 3 = -1

First if all, we operate the parenthesis knowing that [tex]a(b+c) = ab + ac[/tex]:

-2(x-1) - x + 3 = -1 ---->.-2x -2*(-1) - x + 3 = -1

Now, we operate:

.-2x -2*(-1) - x + 3 = -1 ----> -2x + 2 - x + 3 = -1

Now we operate another time to put all the x together and the independent terms too:

-2x + 2 - x + 3 = -1 ----> -3x + 5 = -1

We substract 5 at both sides to have only the x at one side:

-3x + 5 = -1 ----> -3x + 5 - 5 = -1 - 5 ----> -3x = -6

As both sides have a minus (-) we can eliminate it:

-3x = -6 ----> 3x = 6

We divide both sides by 3 to have only a x:

3x = 6 ----> 3x/3 = 6/3 ----> x = 2

Now, we know that x=2. We can also verify it by replacing it on the first equation:

-2(x-1) - x + 3 = -1 ---> -2(2-1) - 3 + 3 = -1 ---> -2(1) - 2 + 3 = -1 ---> -2 - 2 + 3 = -1

Now we know it's true, as we have replaced it and we got he answer.

what expression can be used to 80% of 120

Answers

Answer:

59%

Step-by-step explanation:

Answer:

96=80% of 120

Step-by-step explanation:

Min Jee wants to build a small patio. It will be 70 inches long and 49 inches wide. She can't decide whether to use brick or concrete paver stones. Each brick covers an area of 3 1/2inches by 7 1/2 inches and costs $0.59. Each paver covers an area 8.4 inches by 8.4 inches and costs $1.88. Which would be less expensive to use, and by how much?

Answers

Step-by-step explanation:

firstly, let us solve for the area of the patio, from the information given the patio we have a rectangular orientation.

Area of patio

length=70in

width=49in

Area=70x49

Area=3430in^2

Area of brick

length=7.5in

width=3.5in

Area=7.5x3.5

Area=26.25in^2

Amount of brick needed =3430/26.25

Amount of brick needed =130.66

The Total cost of brick=130.66x0.59

The Total cost of brick=$77.09

Area of paver

length=8.4in

width=8.4in

Area=8.4x8.4

Area=70.56in^2

Amount of brick needed =3430/70.56

Amount of brick needed =48.61

The Total cost of brick=48.61x1.88

The Total cost of brick=$91.38

Brick would be less expensive by =91.38-77.09= $14.29

True or False?
If two straight lines intersect, then the angles opposite that intersection have the same supplement​

Answers

I think it’s False. No I’m pretty sure it’s False.
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