Math Problem Statement
Given the definitions of f, of, xf(x) and g, of, xg(x) below, find the value of left parenthesis, f, circle, g, right parenthesis, left parenthesis, 5, right parenthesis, .(f∘g)(5).
f, of, x, equals, x, squared, plus, 7, x, plus, 4
f(x)=
x2+7x+4
g, of, x, equals, minus, 4, x, plus, 11
g(x)=
−4x+11
Solution
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Math Problem Analysis
Mathematical Concepts
Function Composition
Quadratic Functions
Linear Functions
Formulas
f(x) = x^2 + 7x + 4
g(x) = -4x + 11
(f ∘ g)(x) = f(g(x))
Theorems
Function Composition Theorem
Suitable Grade Level
Grades 9-12
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