1. Simplify f(g(x)) in terms of x if f(x) = x² - 1 and g(x) = 2 x + 3.

Question

asked Jan 21, 2021 179k views

1 Answer

Mithuzz · Answer 1 · 2021-01-26T00:08:16+0000

In this question, you're plugging in g(x) into f(x) to simplify.

You would plug the g(x) equation into the x variable in the f(x) equation.

Plug g(x) into f(x):

(2x+3)² - 1

Solve:

(2x+3)² - 1

Use FOIL:

F = First

O = Outsides

I = Insides

L = Last

4x² + 12x + 9 - 1

Combine like terms:

4x² + 12x + 8

Answer:

4x² + 12x + 8