Math Problem Statement

f(x)=4x+5,g(x)=x^2+2,(g∘f)(-1)

Solution

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Math Problem Analysis

Mathematical Concepts

Function Composition
Linear Functions
Quadratic Functions

Formulas

f(x) = 4x + 5 (Linear function)
g(x) = x^2 + 2 (Quadratic function)
(g ∘ f)(x) = g(f(x)) (Function composition)

Theorems

Function Composition

Suitable Grade Level

Grades 9-11