Question

What is the inverse of the function f(x) = one-ninthx + 2?

Answer 1

The inverse is f^-1(x) = 9x - 18.

First, switch x and y:

x = (1/9)y + 2

Then, solve for y:

x - 2 = (1/9)y

9(x - 2) = y

y = 9x - 18

So, f^-1(x) = 9x - 18.