Question

If the point (3, -5) is on the graph of a one-to-one function f, what point must be on the graph of f ^-1 ?

Short answer

$(-5,3)$point must be on the graph of f ^-1

Step-by-step solution

Step 1. Given Information

If the point $(3,-5)$ is on the graph of a one-to-one function f

We want to know what point must be on the graph of f ^-1

Step 2. Solution

The graph of the inverse function is symmetric with respect to the bisector of the 1st and 3rd quadrants (symmetric with respect to the line y=x ).

Therefore, we will get inverse of the function by changing the x and y values in pair.

Conclusion: Point $(-5,3)$is on the graph of the inverse function f^-1 .