Question

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

Answer 1

Answer: f⁻¹(x)=4x-56

Step-by-step 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.

$x=\frac{1}{4}y+14$                 [subtract 14 on both sides]

$x-14=\frac{1}{4}y$                 [multiply both sides by 4]

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

$4x-56=y$

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