If 3 units equal 3 feet, what is the value of 1 unit?
1 answer:
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We are told that f(x) = x + 2. We want to find .
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
We are asked to sum the two trinomials 
. We can start by using the distributive property to remove the parenthesis, giving us 
. Next, when we combine like terms, we get 
. Hope this helped!