Question

please help me answer! Let f(x)=x^2+3 and g(x)=3x+7 find ( g o f)(7); (g o f) (7)=; simplified answer is? I am not getting it please help me and provide answer

Answer 1

F(x) = x^2 + 3
g(x) = 3x + 7
(g o f)(x) = g(f(x)) = g(x^2 + 3) = 3(x^2 + 3) + 7 = 3x^2 + 9 + 7 = 3x^2 + 16
(g o f)(7) = 3(7)^2 + 16 = 3(49) + 16 = 147 + 16 = 163