To find the composition of two functions, such as p(q(x)), you need to substitute q(x) into the function p(x). Here, p(x) is defined as p(x) = 2x + 4 and q(x) is defined as q(x) = x + 3.
1. Start by calculating q(x): q(x) = x + 3.
2. Now substitute q(x) into p(x): p(q(x)) = p(x + 3).
3. Replace x in p(x) with (x + 3): p(x + 3) = 2(x + 3) + 4.
4. Simplify the expression:
- 2(x + 3) + 4 = 2x + 6 + 4 = 2x + 10.
So, the result of p(q(x)) is 2x + 10.