Question

Give that the point (15,-11) is on the graph of a one-to-one function f(x), find a point on the graph of f^{-1}.

Answer 1

Given:

The point (15,-11) is on the graph of a one-to-one function f(x).

To find:

The a point on the graph of $f^{-1}$.

Solution:

We know that, if the points on the graph of a one to one function are given by (x,y), then the points on the graph of its inverse function are given by (y,x).

In the point (15,-11).

x-coordinate = 15

y-coordinate = -11

In the inverse function,

x-coordinate = -11

y-coordinate = 15

Therefore, the required point on the graph of $f^{-1}$ is (-11,15).