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7 February, 14:49

If f (x) = 2x-8 and g (x) = x^4, what is (g°f) (5) ?

I need the correct answer

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  1. 7 February, 16:11
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    (g°f) (5) is equal to 16.

    In order to find a composite function's value like this one, you first need to evaluate the first function. Since f is on the right side, we put the value in parenthesis in for x in that equation first.

    f (x) = 2x - 8

    f (5) = 2 (5) - 8

    f (5) = 10 - 8

    f (5) = 2

    Now once you have an answer in the first part of a composite function, we stick the answer we got in for the second part. Since g is on the left side, we put our answer (2) into g.

    g (x) = x^4

    g (2) = 2^4

    g (2) = 16

    Therefore, (g°f) (5) = 16
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