Find functions f(x) and g(x) so the given function can be expressed as h(x) = f(g(x)). (Use non-identity functions for

Question

Find functions f(x) and g(x) so the given function can be expressed as
h(x) = f(g(x)).
(Use non-identity functions for
f(x) and g(x).)
h(x) = 5/x-4

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Philomena 3 years 2021-07-26T16:58:39+00:00 1 Answers 20 views 0

Answers ( )

  1. thnahdat
    0
    2021-07-26T17:00:05+00:00
    Reply

    Answer:

    f(x) = \frac{5}{x}

    g(x) = x - 4

    Step-by-step explanation:

    Composite function:

    h(x) = f(g(x)) = (f \circ g)(x)

    h(x) = 5/x-4

    We have x on the denominator and not the numerator, so the outer function is given by:

    f(x) = \frac{5}{x}

    The denominator is x – 4, so this is the inner function, so:

    g(x) = x - 4

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