Provide an Appropriate Response $f ( x )$ Is One-To-One, Is $g ( x ) = f ( - x )$

Multiple Choice

Provide an appropriate response.
-If $f ( x )$ is one-to-one, is $g ( x ) = f ( - x )$ also one-to-one? Explain.

A) $g ( x )$ is a reflection of $f ( x )$ across the $y$ -axis. It will be one-to-one.
B) There is not enough information to determine whether $g ( x )$ is one-to-one.
C) $g ( x )$ is a reflection of $f ( x )$ across the $x$ -axis. It will be one-to-one.
D) $g ( x )$ is a reflection of $f ( x )$ across the line $y = x$ . It will not be one-to-one.