• anonymous
Let $$f$$ and g be defined by$f(x) = -x^2 + 8x - 4~~~~~1 ≤ x ≤ 6$$g(x) = 5 - x~~~~~0 ≤ x ≤ 7$How would I go about with finding the domains of $$f(g(x))$$ and $$g(f(x))$$? Also, how would I prove that $$f(g(3))$$ is defined and $$g(f(3))$$ is undefined? More than likely, it has to do with the domain, but I'm not fully sure with how to do it.
Mathematics