Math Problem Statement
Find \((f \cdot g)(x)\) if \(f(x) = x + 2\) and \(g(x) = x^2 + 4x + 4\).
Solution
To solve for when and , we need to calculate the product of and , which is defined as:
Step-by-Step Solution
-
Write down and :
-
Multiply and :
-
Expand the expression:
- Distribute through :
- Distribute through ((x^2
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Polynomial Functions
Function Multiplication
Formulas
\((f \cdot g)(x) = f(x) \cdot g(x)\)
Polynomial expansion
Theorems
-
Suitable Grade Level
Grades 9-12