Question

If f(x) = 1/2x-6 then what does f^-1(x) equal?

Answer 1

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

First, let's talk about notation:
f(x) = $\frac{1}{2}$x - 6 is the same as
y = $\frac{1}{2}$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 = $\frac{1}{2}$x - 6
2. Rewrite this equation switching the variables x and y
x = $\frac{1}{2}$y - 6
3. Solve this equation for y: y = 2(x + 6)