Question

If a function `f` has an inverse and `f(-6)=-2`, then what is `f (2)`?

Answer 1

I don't think you can answer the question

Explanation:

Here's an easy counterexample: consider two lines passing through `(-6,-2)` with different, non-zero slopes. They both have an inverse (all non vertical and non horizontal lines do), but the evaluate differently at `x=2`, since two different lines can at most have one point in common.

The only thing you can say is that, if `f` has an inverse `f^{-1}` and `f(-6)=-2`, then `f^{-1}(-2) = -6`.

Please let us know what the actual question was if this was a misinput!