Answer:
f(g(x)) = x² + 4x + 3
Step-by-step explanation:
f(x) = x² − 1
g(x) = x + 2
To find the composite f(g(x)), replace x in f(x) with g(x).
f(g(x)) = (g(x))² − 1
Now substitute the expression for g(x).
f(g(x)) = (x + 2)² − 1
Simplify by distributing.
f(g(x)) = x² + 4x + 4 − 1
f(g(x)) = x² + 4x + 3
