Math Problem Statement

Operations on Function

•If f(x)= 3x + 2x^2 - 10 and g(x) = 5x - x + 15^2 find:

A. (f + g)(x)

B. (f + g)(5)

C. (f - g)(x)

D. (f - g)(- 6)

Ε. (f^ * g) (x)

F. (f^ * g) (2)

G. (f / g)(x)

H. (f / g)(3)

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Functions
Polynomial Operations
Rational Functions

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)

Theorems

Polynomial Addition and Subtraction
Multiplication of Polynomials
Division of Polynomials

Suitable Grade Level

Grades 9-12