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

Question 408

Multiple Choice

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


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

Correct Answer:

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