Question 226513
a) h(x) = (f ◦ g)(x) = f(g(x)) = f(x-5) = (x-5)^2+(x-5) = (x-5)((x-5)+1) = (x-5)(x-4) = x^2 - 9x + 20

Answer: x^2 - 9x + 20


b) Domain: all real numbers


c) h(x) = (g ◦ f)(x) = g(f(x)) = g(x^2+x)= x^2+x-5

Answer: x^2+x-5

d) Domain:  all real numbers