Question

URGENT PLEASE HELP 45 POINTS! Complete this activity. Given: f(x) = x + 2

[f(x)] 2 =

Answer 1

We are told that f(x) = x + 2. We want to find
`(f(x))^(2)`.

Squaring f(x) on one side means we square x + 2 on the other.

So,

f(x) = x + 2

(f(x))² = (x + 2)²

= (x + 2)(x + 2)

We can use FOIL to square x + 2. The first terms multiply to x², the outside terms to 2x, the inside terms to 2x and the last terms to 4.

= x² + 2x + 2x + 4

= x² + 4x + 4

So [f(x)]² = x² + 4x + 4