Let f(x) 2x + 8, g(x) = x2 + 2x – 8, and h(x) = 3x – 6. Perform the indicated operation. (Simplify as far as possible.) (h

Question

Let f(x)
2x + 8, g(x) = x2 + 2x – 8, and h(x) = 3x – 6.
Perform the indicated operation. (Simplify as far as possible.)
(h · f)(3) =

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Trúc Chi 3 years 2021-08-07T01:50:50+00:00 1 Answers 17 views 0

Answers ( )

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    2021-08-07T01:52:20+00:00

    Answer:

    36

    Step-by-step explanation:

    (h · f)(x) = h(f(x))

    h(f(x)) = h(2x+8)

    h(f(x))= 3(2x+8) – 6

    h(f(x)) = 6x + 24 – 6

    h(f(x))= 6x + 18

    If x = 3

    h(f(x))= 6(3) + 18

    h(f(x))= 18 + 18

    h(f(x))= 36

    Hence (h · f)(3) = 36

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