Math Problem Statement
Given f(x) = x + 1 and g(x) = x², what is (g ∘ f)(x)?
Solution
To solve the problem from the uploaded image:
Problem:
We are given two functions:
We need to determine , which represents the composition .
Steps to Solve:
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Start with .
Substituting into , we have:
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Since , replacing with gives:
[ g(x + 1) = (x + 1)^2 \
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Math Problem Analysis
Mathematical Concepts
Function Composition
Quadratic Functions
Formulas
g(f(x)) = g(x + 1)
g(x) = x²
Theorems
Basic Function Composition Rules
Suitable Grade Level
Grades 9-10
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