Math Problem Statement
Given the three functions below, which expression equals left parenthesis, s, circle, t, circle, h, right parenthesis, left parenthesis, x, right parenthesis(s∘t∘h)(x)? h, of, x, equals, start fraction, 5, divided by, x, plus, 5, end fraction, s, left parenthesis, x, right parenthesis, equals, square root of, 8, x, end square root, t, left parenthesis, x, right parenthesis, equals, open vertical bar, 5, x, close vertical bar h(x)= x+5 5 s(x)= 8x t(x)=∣5x∣
Solution
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Math Problem Analysis
Mathematical Concepts
Function Composition
Square Roots
Absolute Value
Algebraic Expressions
Formulas
h(x) = 5 / (x + 5)
t(x) = |5x|
s(x) = √(8x)
(s ∘ t ∘ h)(x) = √(200 / (x + 5))
Theorems
Composition of Functions
Suitable Grade Level
Grades 10-12
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