If f and g are odd functions, which of the following must also be odd?I. f(g(x))II. f(x) + g(x)III. f(x)g(x)

Question

If f and g are odd functions, which of the following must also be odd?I. f(g(x))II. f(x) + g(x)III. f(x)g(x)
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Solution 1

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

Let's analyze each option step by step:

I. ( f(g(x)) )

Given that ( f ) and ( g ) are odd functions:

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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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