Question

What is the inverse of the function f(x)=1/4x-12?

a. h(x)=48x-4
b. h(x)=48x+4
c. h(x)=4x-48
d. h(x)=4x+48

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Answer 1

d. h(x) = 4x + 48

Explanation:

`f(x) = (1)/(4) x - 12`

`y = (1)/(4) x - 12`

`x = (1)/(4) y - 12`

`(1)/(4) y - 12 = x = 4( (1)/(4) y - 12) = 4x`

`4 * (1)/(4) y - 4 * 12 = 4x`

`y - 48 = 4x`

`y = 4x + 48`

`\boxed{\green{= h(x) = 4x + 48}}`