Inverse Function: How to Find the Value of g^-1(-2) with g(5)=-2

[VVVS]

Homework Statement

if g(5)=-2, then g^-1(-2)=?

Homework Equations

n/a

The Attempt at a Solution

i can't remember how to work inverse functions when there is no variable
i think its g^-1(-2)=5 but it could be g^-1(-2)=-2

 

[Mark44]

The most fundamental concept about a function that has an inverse is that if a = f(b),
then b = f^-1(a). Use this concept in your problem.

In different words, f maps b to a, so f^-1 is a pairing in the other direction; IOW, f^-1 maps a to b.

 

[statdad]

Think about these (very loose, incredibly non-mathematical) formulations of inverse functions.

"The inverse function reverses what the original function does."

"If you start at an x, apply the function to get a y, then apply the inverse function, you get back to x."

Does either of these help?