Math Problem Statement

f(x) = x-5 y g(x) = x*2 - 1

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Functions
Function Composition

Formulas

f(x) = x - 5
g(x) = 2x - 1
f(g(x)) = f(2x - 1) = (2x - 1) - 5 = 2x - 6
g(f(x)) = g(x - 5) = 2(x - 5) - 1 = 2x - 10 - 1 = 2x - 11

Theorems

Linear function behavior
Function composition

Suitable Grade Level

Grades 8-10