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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)?
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Mathematics
1 year
2021-09-05T01:09:28+00:00
2021-09-05T01:09:28+00:00 1 Answers
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Answer:
(g o f)(x) = x
Step-by-step 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