Precalculus · Problem 97

Relations and Functions — Stitz & Zeager

Mathematics — Precalculus · even-odd-functions

Problem

Suppose

f

and

g

are both even functions. What can be said about the functions

f + g

f - g

fg

and

\dfrac{f}{g}

? What if

f

and

g

are both odd? What if

f

is even but

g

is odd?