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Let f(x) = 2/x and g(x) = 2/x what is (g o f)(x)?
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Let f(x) = 2/x and g(x) = 2/x what is (g o f)(x)?

User Stefanija
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1 Answer

8 votes

Answer:

(g o f)(x) = x

Explanation:

Given the functions f(x) = 2/x and g(x) = 2/x

(g o f)(x) = g(f(x))

g(f(x)) = g(2/x)

Replace x with 2/x in g(x)

g(f(x)) = 2/(2/x)

g(f(x)) = 2 * x/2

g(f(x)) = 2x/2

g(f(x)) = x

Hence the composite function g o f)(x) is x

User Flutter
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