Question

What is the inverse function of `f(x) =1/4x+7`?

Answer 1

`f^-1(y) = 4(y-7)` is the inverse function.

Explanation:

Let `y = f(x) = 1/4x+7`

Subtract `7` from both ends to get:

`y - 7 = 1/4x`

Multiply both sides by `4` to get:

`4(y-7) = x`

So `f^-1(y) = 4(y-7)` is the inverse.