Question
Show that the sum of two even functions is even and the sum of two odd functions is odd.
Step 1
We know that a function $f(x)$ is even if $f(-x) = f(x)$, and a function $g(x)$ is even if $g(-x) = g(x)$. Now, let's define a new function $h(x) = f(x) + g(x)$. Show more…
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