Final answer:
Without knowing the details of function f, we cannot conclude that h will be even just because g is even, because the evenness of h depends on whether f preserves the symmetry of g.
Step-by-step explanation:
The question asks if h=f°g, and knowing that g is an even function, whether h is necessarily an even function as well. To determine if h is even, we need to know if h satisfies the condition that h(x) = h(-x). An even function is one that remains the same when its input is replaced by its negative counterpart, meaning it is symmetric about the y-axis. The fact that g is an even function means that g(x) = g(-x). However, without additional information about the function f, we cannot conclude that h will also be even. The evenness of h would depend on whether f preserves the symmetry of g.