Question

If f(x) = x2 and g(x) = x - 3, then f(g(x)) = ?

A) x^2 - 3
B) x^2 + 9
C) x^3 - 3x^2
D) x^2 - 6x + 9

Answer 1

D

Explanation:

A function composition is where one function is substituted within another function and is written f(g(x)). Here we will substitute g(x) into f(x).

`(x-3)^2 = (x-3)(x-3)=x^2-6x+9`