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

question 62

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.

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