3 years ago

If f(x)=x²-1, and g(x) = x + 2, then f(g(x)) = [? ]x² + [ ]x + []

Mathematics

1 answer:

Kisachek [45]3 years ago

6 0

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

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