Posted by Fatima on Sunday, September 23, 2012 at 3:14am.
Suppose f is an even function and g is an odd function such that the composition fog is defined.d show that fog is an even function

precalculus  Steve, Sunday, September 23, 2012 at 8:10am
since f(x) is even, f(z) = f(z)
g(x) = g(x) since g is odd
f(g(x)) = f(g(x)) = f(g(x)) so fog is even