Math Problem Statement

Express your answer as a polynomial in standard form. Given f(x) = 3x + 14 and g(x) = 2x^2 + 3x + 15, find (f ∘ g)(x).

Solution

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Math Problem Analysis

Mathematical Concepts

Function Composition
Polynomial Expansion
Standard Form of Polynomial

Formulas

f(g(x)) = f(g(x)) evaluated by substituting g(x) into f(x)

Theorems

Polynomial Addition and Multiplication Rules

Suitable Grade Level

High School (Grades 10-12)