Math Problem Statement
Solution
To solve the given problem, let's break it down:
Problem Interpretation
We are given:
We need to find .
Solution
-
Since and , substitute with in the expression for :
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Let , so we need to express in terms of .
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Solve for in terms of :
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Substitute into :
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Simplify this expression:
- Compute
- So,
- And,
- Therefore
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Math Problem Analysis
Mathematical Concepts
Algebra
Function Composition
Quadratic Functions
Formulas
g(f(x)) = g(2x + 1) = 4x^2 + 8x + 1
u = 2x + 1
x = (u - 1)/2
Theorems
Function Composition
Suitable Grade Level
Grades 9-11
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