If f(x) = 1/2x-6 then what does f^-1(x) equal? a. f^-1(x) = 2x+6 b. f^-1(x) = 2x-6 c. f^-1(x) = 2(x+6) d. f^-1(x) = 2(x-6) i am really asking this question because i don't understand how to change f(x) to f^-1(x). this is just a sample problem, so you could make up your own, similar equation and me understand. you!

I think what you're looking for is the inverse of the function.

First, let's talk about notation:
f(x) = x - 6 is the same as
y = x - 6

To find the inverse of the function, you do the following steps.
1. write the function in terms of x and y:
y = x - 6
2. Rewrite this equation switching the variables x and y
x = y - 6
3. Solve this equation for y: y = 2(x + 6)