Question

Write a Rule for a Composite Function

given: f(x) = x^2 - 3 and g(x) = x + 1


The composite function g ○ f:
A. x^2 + 2x -2
B. x^2 + 2x
C. x^2 - 2

Answer 1

C

Explanation:

Observing that f has to be placed inside g, we can easily substitute x^2 - 3 in place of the x in x + 1, making it

(x^2 - 3) + 1 which equals

(x^2) - 2