CaleenaR145357 CaleenaR145357
  • 26-10-2022
  • Mathematics
contestada

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 class=

Respuesta :

NitzaS582808 NitzaS582808
  • 26-10-2022

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

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