Matematika

Pertanyaan

dik fungsi f(x) =x+6 dan g(x) = x+ 10 tent
1 (f-g) (x)
2 (g¤f) (x)
3 f invers (x)
4 g invers (x)
5 (g¤f) invers (x)
nb ¤ bundaran

1 Jawaban

  • 1.
    (f - g)(x) = f(x) - g(x)

    x + 6 - x + 10 = (f - g)(x)
    16 = (f - g)(x)

    2.
    (g • f)(x) = g(f(x))

    (x + 6) + 10 = g(f(x))
    x + 16 = g(f(x))

    3.
    f(x) = y

    y = x + 6
    x = y - 6
    f'(x) = x - 6

    4.
    g'(x) = y

    y = x + 10
    x = y - 10
    g'(x) = x - 10

    5.
    (g • f)'(x) = g'(f'(x))

    (x - 6) - 10 = (g • f)(x)
    x - 16 = (g • f)(x)

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