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Function Composition
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Function Composition
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3. Functions & Graphs / Function Composition / Problem 6
Problem 6
Determine (ƒ∘g)(x) for the given functions f(x) = √x and g(x) = 1/(x +64). Also find the domain of (ƒ∘g)(x).
A
(ƒ∘g)(x) = 1/[(√x) +64], Domain of ƒ∘g is (0, ∞)
B
(ƒ∘g)(x) = 1/[(√x) +64], Domain of ƒ∘g is [0, ∞)
C
(ƒ∘g)(x) = 1/√(x +64), Domain of ƒ∘g is (-64, ∞)
D
(ƒ∘g)(x) = 1/√(x +64), Domain of ƒ∘g is [-64, ∞)
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