Math Problem Statement

f(x)=2x2+3x−5 g, of, x, equals, 3, x, squared, minus, 10g(x)=3x2−10 h, of, x, equals, 2, x, plus, 4h(x)=2x+4

Find: g, of, f, of, h, of, minus, 3g(f(h(−3)))

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Functions
Composite Functions
Quadratic Equations

Formulas

f(x) = 2x^2 + 3x - 5
g(x) = 3x^2 - 10
h(x) = 2x + 4
Composite function: (g ∘ f ∘ h)(x) = g(f(h(x)))

Theorems

Substitution method for composite functions
Quadratic evaluation

Suitable Grade Level

Grades 9-11

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