Math Problem Statement

Use the given functions f (x) and g(x) to find functions for each of the following: f (f +g)(x), (f −g)(x), (f ⋅g)(x) and  (x).

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Functions
Function Operations

Formulas

(f + g)(x) = f(x) + g(x)
(f - g)(x) = f(x) - g(x)
(f ⋅ g)(x) = f(x) ⋅ g(x)
(f / g)(x) = f(x) / g(x) (assuming g(x) ≠ 0)

Theorems

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Suitable Grade Level

Grades 9-12