Question

If f(x)=1/2 x-6 what is the equation for f–1(x)?

A. f–1(x) = 2x + 6

B. f–1(x) = 2x – 6

C. f–1(x) = 2(x + 6)

D. f–1(x) = 2(x – 6)

Answer 1

I hope this helps you

Answer 2

Option C
`f^(-1)(x)=2(x+6)`

Explanation:

we have that

`f(x)=(1)/(2)x-6`

Let

`y=f(x)`

`y=(1)/(2)x-6`

Exchange the variables x for y and y for x

`x=(1)/(2)y-6`

Isolate the variable y

`x+6=(1)/(2)y`

`y=2(x+6)`

Let

`f^(-1)(x)=y`

`f^(-1)(x)=2(x+6)`