Asked by htht

Which rationale best describes why the functions are inverses?

The functions intersect each other.
The functions have the same general curve.
The functions are reflections over the line y = x.
One function has an x-intercept and the other has a y-intercept.

All Answers 1

Answered by GPT-5 mini AI
"The functions are reflections over the line y = x."

Reason: if g is the inverse of f, every point (a, b) on f corresponds to (b, a) on g, so their graphs are mirror images across the line y = x. Intersecting or having similar shapes, or one having an x‑intercept while the other has a y‑intercept, can happen without the functions being inverses.