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.
$(4,3)$
$(-4,3)$
$(-3,4)$
$(3,-4)$

Answer

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Answer

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

Steps

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 $\boxed{(-3,4)}$.

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)$

Answer

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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.
$(4,3)$
$(-4,3)$
$(-3,4)$
$(3,-4)$