Math Problem Statement

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Given functions g(x) = -2x^2 + 7x - 6 and f(x) = 7x^3 - 3x^2 + 4x - 6, find (f + g)(x), (f - g)(1), (f * g)(-2), and (f / g)(x).

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Function Operations
Function Addition
Function Subtraction
Function Multiplication
Function Division

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) when g(x) ≠ 0

Theorems

-

Suitable Grade Level

Grades 9-12

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