The function f is defined by f(x) = (x − 2) 2 − 3 for x > −2. The function g is defined by g(x) = 2x+6 x−2 for x > 2. Find fg(7).

Question

The function f is defined by f(x) = (x − 2) 2 − 3 for x > −2. The function g is defined by g(x) = 2x+6 x−2 for x > 2. Find fg(7).

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Ladonna 3 years 2021-08-12T21:49:11+00:00 1 Answers 3 views 0

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  1. Euphemia
    0
    2021-08-12T21:50:27+00:00
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    Answer:

    fg(7)=143.95

    Step-by-step explanation:

    We are given that

    f(x) = (x -2)^2 -3 for x > −2

    g(x) = 2x+6x^{-2} for x > 2

    We have to find fg(7)

    fg(7)=f(g(7))

    =f(2(7)+6(7)^{-2})

    =f(14+\frac{6}{49})

    =f(\frac{692}{49})

    692/49>-2

    fg(7)=(\frac{692}{49}-2)^2-3

    =146.95-3

    Hence, fg(7)=143.95

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )