Assume that f is an even function, g is an odd function, and both f and g are defined on the entire real line. State whether
the combination of functions (where defined) is even or odd.
-$$f \circ g$$
A) Even
B) Odd

Question

Quizplus · Accepted Answer

The composition $f \circ g$ is even because the outer function $f$ is even, and applying an even function to any input, including the output of an odd function like $g$, results in an even function.

Assume That F Is an Even Function, G Is an Odd