Question

The graph of the invertible function f is shown on the grid below What is the value of f^-1(6)

Answer 1

Given:

The graph of an invertible function $f$ is given.

To find:

The value of $f^{-1}(-3)$.

Solution:

We know that, if the graph of an invertible function $f$ passes through the point (a,b), then the inverse function $f^{-1}$ passes through the point (b,a).

From the given graph it is clear that the graph of the function $f$ passes through the points $(-5,-3)$.

So, the inverse function $f^{-1}$ must be passes through the point $(-3,-5)$.

Therefore, the value of inverse function is $-5$ at $x=-3$. So, the value of $f^{-1}(-3)$ is $-5$.