Find the inverse function in slope-intercept form (mx+b):

f(x)=2x-8

Find The Inverse Function In Slope-intercept Form (mx+b):f(x)=2x-8

Answers

Answer 1

Answer:

[tex]\sf f^{-1}(x) = \dfrac{x}{2}+4[/tex]

Step-by-step explanation:

A function is given to us and we need to find the inverse of the function in slope intercept form . The given function is ,

[tex]\sf\implies f(x) = 2x - 8 [/tex]

Let us assume that y = f(x) , so that ,

[tex]\sf\implies y = 2x - 8 [/tex]

Now interchange the positions of x and y , we have ,

[tex]\sf \implies x = 2y - 8[/tex]

Solve for y in terms of x ,

[tex]\sf \implies 2y = x + 8 \\\\\sf\implies y =\dfrac{x}{2}+4 [/tex]

This is the inverse of the function in slope intercept form. Now we can replace this y with f-¹(x) , as ,

[tex]\sf \implies \boxed{\pink{\frak{f^{-1}(x) = \dfrac{x}{2}+4}}}[/tex]


Related Questions

can someone help me

Answers

V = 85
All angles in a triangle equal to 180

Help me with this pls!!!

Answers

Answer:

B) $1.25

Step-by-step explanation:

1. First, let's take two points. In this case, we're going to take (4,5) and (8,10). We took 2 points, so we can verify the unit rate/cost per pound of pineapple.

2. To find the cost per pound of pineapple, we have to divide the cost (the y-coordinates) by the pound (x-coordinates)

5 ÷ 4 = 1.2510 ÷ 8 = 1.25

3. Now, since we can verify with 2 coordinates that the cost per pound is $1.25, the answer is B) $1.25.

Given the following functions, find the indicated values,
f(x)= 1 - 5x
(a) f(-4) (b) f(0) (C) f(5)
(a) f( – 4)=0

Answers

Answer:

Riley restoration rotators

Asia is a chef in a restaurant. To prepare for dinner service, she chops
onions in
of an hour. What is Asia's rate of chopping in onions per hour?

Answers

Answer:

135 onions

Step-by-step explanation:

bc

7 1/2 = 15/2

15/2 x 3 = 45/2

45/2 = 22.5

bc its only 1 of 6 pieces, you have to multiply 22.5 by 6

22.6 x 6 = 135

order the numbers from least to greatest

Answers

Answer:

can you give me points ??

Answer the following questions.
Questions
What is an amount between $2 and $10? (A) ____8______
What is an amount between $10 and $20? (B) ________10__
What is an amount greater than $50? (C) _____55_____
What is your name? (D) ___mikiaa____________
What is the name of an item that you will buy only once? (E) _____fish eggs____________
What is the name of an item that you will buy more than once? (F) ______snacks___________


Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.



Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.



Explain what the solution means in the context of the word problem.

Answers

The question is an illustration of inequalities and mathematical operations

The amount between $2 and $10 is $8

The amount between $10 and $20 is $10

$100 is greater than $50

(a) Amount between $2 and $10.

The amount is calculated as:

Hence, the amount between $2 and $10 is $8

(b) Amount between $10 and $20.

The amount is calculated as:

Hence, the amount between $10 and $20 is $10

(c) Amount greater than $50.

An amount greater than $50 is an amount that have an higher value.

Take for instance: $100

$100 is greater than $50, because it has a higher value.

There is no enough information to solve the other questions

Read more about inequalities and mathematical operations at:

brainly.com/question/19003099

Please help, thank you!

Answers

this isnt a linear a function since some points overlap

g(x) = 3x-1
f(x) = x + 5.
find g (f (4)

Answers

Answer:

g(x)=3

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

g(x) = 3x-1

f(x)= x+5

g(f(4)

plug 4 into f

f(4)

now apply x+5

f(4)=4+5=9

plug 9 into g

g(9)

now apply 3x-1

g(9)=3(9)-1

3 ×9= 27

27-1=26

hence the answer is 26

(sorry if I'm wrong I just finished this topic myself)

Is this triangle congruent?

Answers

Answer:

Yes

Step-by-step explanation:

Because both triangles are equal in legnth.

Please tell me the answer up to e no.​

Answers

(I think you need a-e, if not let me know and I will edit accordingly)

a: Divide both sides by 4

cm -> 12:8

3:2

b: Convert and divide both sides by 3

cm -> 150:9

50:3

c: Convert and divide both sides by 20

cm -> 100:80

5:4

d: Convert and divide both sides by 4

months -> 4:12

1:3

e: Convert and divide both sides by 250

g -> 2000:250

8:1

Hope this helps, have a nice day :)

[tex]\bf \cfrac{5}{8}+\cfrac{3}{8}[/tex]

Answers

Answer:

The answer is 1

Step-by-step explanation:

Determine whether the graphs of the given equations are​ parallel, perpendicular, or neither.
y=−4
y=8
Choose the correct answer below.
A.
Parallel
B.
Neither
C.
Perpendicular

Answers

Parallel because they both have no slope meaning the are both horizontal lines.

Need Help Now Do not Wait need help with all will give 20 points!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

the equation of the line simplify your answer type using integers are fraction indication points are the graph this is that what is the answer is

I HAVE MORE PLS HELP IT’S DUE TOMORROW

Answers

Answer 1:

[tex]y = \frac{9}{5} - \frac{6x}{5}[/tex]

Answer 2:

[tex]y = 3 - \frac{8(x+7)}{7}[/tex]

Note:

User stated an explanation was not needed.

Can you guys tell me the answer to this question?

Answers

Answer:

I get the answer 52°......................

Gabriella answered 72 questions correctly on her multiple choice history final and earned a grade of 36%. How many total questions were on the final exam?

Answers

Answer:

There were 200 Questions on the Final.

Step-by-step explanation:

3) Determne the largest multiple of 9 less than 200 ​

Answers

Answer:

i think 22

Step-by-step explanation:

9*22=198

Complete this division sentence. 9988 ÷ 23 =

Answers

Answer:

434 R2

Step-by-step explanation:

Hope this helps

$200 is divided in the ratio 6: 4, What is the smaller part?

Answers

Answer:

Step-by-step explanation:

first put 6:4

6 is 3 by 2

4 is 2 by 2

the 2 in 4 and 6 is gone

so we will have in the 6 3 left and in the 4 2 left

so what is 3 by 2

can someone help me solve this Y= q-k/n for q

Answers

Answer:

q=y + K/n

Step-by-step explanation:

A city has 1,242 law enforcement officers in the police department. If the officers are divided equally into 18 groups, how many officers will be in each group?

Answers

Answer:

69

Step-by-step explanation:

1,242 ÷ 18 = 69

Since the problem says divided equally, you will need to divide the total number of officers into 18 groups.

-kiniwih426

Total Officers=1242Total groups=18

Members per group:-

[tex]\\ \sf\longmapsto \dfrac{1242}{18}[/tex]

[tex]\\ \sf\longmapsto 69[/tex]

Find the elapsed time of 8:45AM to 1:10 PM

Answers

Answer:

the answer would be 11 hours and 25 minutes

Step-by-step explanation:

Answer:

4.42 hours

The reason why is by adding, 8:45 can round up to 9, and 1:10 can round down to 1, this make it simpler. 8:45+15 1:10-10

9AM to 1PM

9AM+3=12PM, add 1 and you get 1 pm=4 hrs, add 15+10, and you get somewhere close to it.

which expressions represent 94 increased by twice a number

Answers

Answer:

2x+94

Step-by-step explanation:

because 2x means 2×x +94

x= unknown number

+=increase

which of these numbers has both 2 and 5 as factors? A. 205 B. 502 C. 250 D. 202​

Answers

Answer:

10=20. divisible by 2 (2,5 = 10) both of the factor are prime

Step-by-step explanation:

BIG BRAIN

A square has a area of 121 square centimeters. what is the length of each side

Answers

Answer is so 100-8 is square root of 100

Please help me thank you

Answers

Answer:

C. The product of 12 and √17

Step-by-step explanation:

Because it gives a number that isn't a repeating or terminating decimal.

At a movie theater, there were 7 kids
for every 2 adults. If kids tickets cost $5
and adult tickets cost $8, how much
money did the theater make if there
were 54 people in the theater?

Answers

There are 12 adults and 42 kids, which in total cost $306

Answer:

$306

Step-by-step explanation:

Adult cost = no of adult × adult cost

no of adult = 12

adult tickets cost = $8

= 12 x $8

= $96

kids cost = no of kids x kids tickets cost

no of kids = 42

kids tickets cost = $5

= 42 x $5

= $210

total sales for the theatre =$96 +$210

= $306

What is the equation of the line that passes through the point (-6, -7) and has a slope of 0

Answers

Answer:

x = - 6

Step-by-step explanation:

A line with a slope of zero is a horizontal line parallel to the x- axis with equation

x = c ( where c is the value of the x- coordinates the line passes through )

The line passes through (- 6, - 7 ) with x- coordinate - 6 , then

x = - 6 ← equation of line

in the the picture below, EG has a length of (4x-8) and AB has a length of 24

A 5
B 2
C 12
D 8​

Answers

Answer:

C

Step-by-step explanation:

1. Add 4x +8

the awswer would be 12x

2. subtract the 12x from the lenght which is 24

then your and will be 12

Your Answer is C. Hope this help :)

Find the difference in 14 5/10 - 12 9/10 please

Answers

Answer:

1 3/5

Step-by-step explanation:

14 5/10 - 12 9/10

I like to line them up vertically

 14 5/10

- 12 9/10

-----------------

We need to borrow from the 14.  14 becomes 13 and the 1 becomes 10/10

 13 10/10+5/10

- 12 9/10

-----------------

13 15/10

- 12 9/10

-----------------

1  6/10

Simplify

1 3/5

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