Question

If f(x) =1/4x+14, then f^-1(x)=

Answer 1

Answer: f⁻¹(x)=4x-56

Explanation:

f⁻¹(x) is the inverse of f(x). To find the inverse, we replace the y with x, and x with y. Once we do that, we solve for y.

`x=(1)/(4)y+14` [subtract 14 on both sides]

`x-14=(1)/(4)y` [multiply both sides by 4]

`4(x-14)=y` [distribute 4]

`4x-56=y`

`f^-^1(x)=4x-56`