Question

Find the inverse function of f(x) . F(x) = 7x - 9

Answer 1

The inverse of this function is f(x) =
`(x + 9)/(7)`.

All inverse functions can be found by switching the x and f(x) values. Then you can solve for the new f(x). The result is the inverse function. Below is the step-by-step process for finding one.

f(x) = 7x - 9 ----> Switch the x and f(x)

x = 7f(x) - 9 -----> Add 9 to both sides

x + 9 = 7f(x) ----> Divide both sides by 7

f(x) =
`(x + 9)/(7)`