If f(x) is an odd function, which of the following must also be odd?A.|f(x)|B.- f(x)C.  f(|x|)D.None of theseE.  f(x - 1)SUBMITarrow_backPREVIOUS

Question

If f(x) is an odd function, which of the following must also be odd?A.|f(x)|B.- f(x)C.  f(|x|)D.None of theseE.  f(x - 1)SUBMITarrow_backPREVIOUS
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Solution 1

To determine which of the given options must also be odd if ( f(x) ) is an odd function, we need to recall the definition of an odd function. A function ( f(x) ) is odd if ( f(-x) = -f(x) ) for all ( x ).

Let's analyze each option:

A. ( |f(x)| )

  • The absolute value of ( f(x) ) is not Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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