Browse · MATH
Printjmc
algebra junior
Problem
Let be an odd function, and let be an even function. Is even, odd, or neither?
Enter "odd", "even", or "neither".
Enter "odd", "even", or "neither".
Solution
We have that so the function is
More generally, if we have a composition of functions, and at least one of the functions is even, then the whole composition of functions is even.
More generally, if we have a composition of functions, and at least one of the functions is even, then the whole composition of functions is even.
Final answer
\text{even}