Question

Find the inverse function

Answer 1

The inverse of this function is f(x) =
`(3x + 15)/(4)`

To find the inverse of any function, start by switching the x and f(x) term. Then solve for the new f(x). The result will be the inverse function. The step-by-step process is below for you.

f(x) =
`(-15 + 4x)/(3)` ----> Switch the x and f(x)

x =
`(-15 + 4f(x))/(3)` ----> Muliply both sides by 3

3x = -15 + 4f(x) ----> Add 15 to both sides

3x + 15 = 4f(x) ----> Divide both sides by 4.

f(x) =
`(3x + 15)/(4)`