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If f and g are odd functions, which of the following must also be odd?

If f and g are odd functions, which of the following must also be odd?-example-1
User Meol
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1 Answer

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Since f(x) and g(x) are odd function, then

Their sum must be an odd function

Their product must be an even function

f(g(x)) means g(x) is the x of f(x)

Let us check it

f(x) is odd and g(x) is odd, then f(g)(x) is also odd

I is odd

II is odd

III is even

Then the answer is I and II only

User Crawler
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