Given the graph of a one-to-one function $$ f $$, which of the following statements best describes how to sketch the graph of $$ f^{-1} $$ ? Choose the correct answer. A. Reflect the graph of $$ f $$ about the line $$ y=x $$ to obtain the graph of $$ f^{-1} $$. Reflect the graph about the vertical line $$ x=a $$ for any value of $$ a $$ such that $$ a=f^{-1}(b) $$. C. First reflect the graph of $$ f $$ about the $$ x $$-axis, and then reflect the graph about the $$ y $$-axis to obtain the graph of $$ f^{-1} $$. Dotate the graph of $$ f $$ ninety degrees counterclockwise to obtain the graph of $$ f^{-1} $$.

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A. Reflect the graph of $$ f $$ about the line $$ y=x $$ to obtain the graph of $$ f^{-1} $$. The correct answer is: **A. Reflect the graph of $$ f $$ about the line $$ y=x $$ to obtain the graph of $$ f^{-1} $$.** This is because the inverse function $$ f^{-1} $$ is defined such that if $$ f(a) = b $$, then $$ f^{-1}(b) = a $$. Reflecting the graph of $$ f $$ across the line $$ y=x $$ effectively swaps the $$ x $$ and $$ y $$ coordinates, which is exactly what is needed to obtain the graph of the inverse function. The other options do not correctly describe the process for finding the inverse graph.

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