Question

if the point (2, 1) is on the graph of the function f, then the point (x, y) = (\boxed{\quad}) is on the graph of f^{-1}.

Explanation:

Step1: Recall Inverse Function Property

For a function \( f \) and its inverse \( f^{-1} \), if \( (a, b) \) is on the graph of \( f \), then \( (b, a) \) is on the graph of \( f^{-1} \). This is because the inverse function swaps the input and output values of the original function.

Step2: Apply the Property

Given the point \( (2, 1) \) is on \( f \), we swap the \( x \)-coordinate and \( y \)-coordinate. So the \( x \)-value becomes \( 1 \) and the \( y \)-value becomes \( 2 \).

Answer:

\((1, 2)\)