Question

Which of the following is the function of f(x)?

Answer 1

Answer:

f(x) = 8(x-3)

Step-by-step explanation:

F^ -1 ( x) = x/8 +3

Let y = x/8+3

To find the inverse

Exchange x and y

x = y/8+3

Solve for y

x-3 = y/8+3-3

x-3 = y/8

Multiply each side by 8

8(x-3) = y/8 * 8

8(x-3) = y

The inverse of the inverse is the function so

f(x) = 8(x-3)

Answer 2

Answer:

$\boxed{f(x) = 8(x-3)}$

Step-by-step explanation:

$y=\frac{x}{8} +3$

Switch variables.

$x=\frac{y}{8} +3$

Make y as subject.

Subtract 3 from both sides.

$x-3=\frac{y}{8}$

Multiply both sides by 8.

$8(x-3)=y$