Question

. DISCUSS: Compositions of Odd and Even Functions
Suppose that
h  f  g
If g is an even function, is h necessarily even? If g is odd, is
h odd? What if g is odd and f is odd? What if g is odd and
f is even?

84. DISCUSS: Compositions of Odd and Even Functions
Suppose that
h = f•g
If g is an even function, is h necessarily even? If g is odd, is
h odd? What if g is odd and f is odd? What if g is odd and
f is even?

Image Transcription

84. DISCUSS: Compositions of Odd and Even Functions Suppose that h = f•g If g is an even function, is h necessarily even? If g is odd, is h odd? What if g is odd and f is odd? What if g is odd and f is even?

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