Find the function !!! 10 points - Help needed!

Question

asked Apr 19, 2020 96.8k views

2 Answers

Fjplaurr · Answer 1 · 2020-04-19T21:11:13+0000

ANSWER

${f}^( - 1) (x) = (x - 2)/(4)$

Step-by-step explanation

The given function is

f(x)=4x+2

To find the inverse, we let

y=4x+2

Then, interchange x and y.

x=4y+2

Solve for y,

x-2=4y.

Divide both sides by 4

y = (x - 2)/(4)

Hence, the inverse is:

${f}^( - 1) (x) = (x - 2)/(4)$

Mohammed Yasin · Answer 2 · 2020-04-25T04:59:17+0000

The answer is:

The first option,

f^(-1)(x)=(x-2)/(4)

To find the inverse of a function, we need to rewrite the variable "x" with "y" and the variable "y" with "x", and then, isolate "y".

We are given the function:

f(x)=4x+2

Write "f(x)" is equal to write "y", so:

y=4x+2

Now, finding the inverse, we have:

$y=4x+2\\x=4y+2\\x-2=4y\\y=(x-2)/(4)$

Hence, we have that the answer is the first option,

f^(-1)(x)=(x-2)/(4)

Have a nice day!