Question

Given the functions: f(x) = x^2 + 3x and g(x) = -3 + x what is f(g(x)) ?

a) x^2 - 3x
b) x^2 - 3x + 9
c) x^2 + 3x + 9
c) 3^x + 9

Answer 1

You simply plug in g(x) to f(x) so it would be f(-3+x) = (-3+x)^2+3x --> f(g(x)) = (-3+x)^2+3x then the answer would be x^2 - 3x + 9