Math Problem Statement

( f • g ) (x) =f(x) • g(x) =3x (x -2)

Solution

To solve the given composition of functions, we have the following equation:

(fg)(x)=f(x)g(x)=3x(x2)(f \cdot g)(x) = f(x) \cdot g(x) = 3x \cdot (x - 2)

Step 1: Expand the expression

We need to distribute 3x3x across (x2)(x - 2).

[ f(x) \cd

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Math Problem Analysis

Mathematical Concepts

Composition of functions
Multiplication of functions
Polynomials

Formulas

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Theorems

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Suitable Grade Level

High School