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Function Composition

3. Functions / Function Composition / Problem 1

Determine (ƒ∘g)(x) for the given functions f(x) = 10/x and g(x) = x +7. Also find the domain of (ƒ∘g)(x).

A

(ƒ∘g)(x) = (7x -10)/x, Domain of ƒ∘g is (-∞ , 0) ⋃ (0, ∞)

B

(ƒ∘g)(x) = (7x +10)/x, Domain of ƒ∘g is(-∞ , 0) ⋃ (0, ∞)

C

(ƒ∘g)(x) = 10/(x -7), Domain of ƒ∘g is (-∞ , 7) ⋃ (7, ∞)

D

(ƒ∘g)(x) = 10/(x +7), Domain of ƒ∘g is (-∞ , -7) ⋃ (-7, ∞)

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