Question

Let \(h(x) = f(g(x)).\) Note that \(f(x)\) and \(g(x)\)are not necessarily polynomials. State for each of the following cases whether \(h(x)\) is even, odd, or neither.

a. \(f(x)\) and \(g(x)\) are both even
b. \(f(x)\) and \(g(x)\) are both odd
c. \(f(x)\) is even and \(g(x)\) is odd.
d. \(f(x)\) is odd and \(g(x)\) is even