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, minus, 3, right parenthesis, .(f∘g)(−3). f, of, x, equals, 2, x, squared, minus, 4, x, plus, 7 f(x)= 2x 2 −4x+7 g, of, x, equals, minus, 4, x, minus, 15 g(x)= −4x−15
Solution
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Math Problem Analysis
Mathematical Concepts
Function Composition
Quadratic Functions
Linear Functions
Formulas
f(x) = 2x^2 − 4x + 7
g(x) = −4x − 15
Composition of functions: (f∘g)(x) = f(g(x))
Theorems
Function Composition Rule
Suitable Grade Level
Grades 9-12
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