Q 47. - Precalculus Enhanced with Graphing Utilities

Question

In Problem, the graph of a one-to-one function f is given. Draw the graph of the inverse function $f^{-1}$. For convenience (and as a hint), the graph of y = x is also given.

Step-by-Step Solution

Answer

Step 1. Given information

Step 2. Graph of f - 1

We know that the graph of a function f and the graph of its inverse is symmetric with respect to the line y = x.

For every point (x, y) on the graph of f(x), there will be a symmetric point (y, x) which will be on the graph of $f^{-1}\left(x\right)$.

From the given graph of f(x), the only point present is (0,1).

So, the corresponding point on the graph of $f^{-1}\left(x\right)$ is $(1,0)$.