179k views
1 vote
1. Simplify f(g(x)) in terms of x if f(x) = x² - 1 and g(x) = 2 x + 3.​

User Surojit
by
8.3k points

1 Answer

4 votes

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

User Mithuzz
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories