Problem

If $(4,-3)$ is a point on the graph of a one-to-one function $f$, which of the following points is on the graph of $f^{-1}$ ? Choose the correct answer below. $(4,3)$ $(-4,3)$ $(-3,4)$ $(3,-4)$

Solution

Step 1 :The inverse of a function $f$, denoted as $f^{-1}$, is a function that reverses the effect of $f$. In terms of coordinates, if $(a, b)$ is a point on the graph of $f$, then $(b, a)$ is a point on the graph of $f^{-1}$.

Step 2 :So, if $(4, -3)$ is a point on the graph of $f$, then $(-3, 4)$ should be a point on the graph of $f^{-1}$.

Step 3 :Final Answer: The point on the graph of $f^{-1}$ is \(\boxed{(-3,4)}\).

From Solvely APP
Source: https://solvelyapp.com/problems/rgu4o2vWku/

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