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

Question

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

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niczorrrr 1 year 2021-09-05T01:09:28+00:00 1 Answers 8 views 0

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    2021-09-05T01:11:14+00:00

    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

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