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

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