Matematika

Pertanyaan

Diketahui fungsi g(x)=4-3×. Tentukan:
A. g^-1(×)
B. (g°g^-1)(×)
C. (g^-1°g)(×)

1 Jawaban

  • g (x) = 4 - 3x
    = b - ax
    b = 4, a = -3

    A. g^-1 (x) = x - b / a
    = x - 4 / -3

    B. ( g o g^-1)(x) = g (g^-1(x))
    = g ( x - 4 / -3)
    = 4 - 3 (x - 4 / -3)
    4(-3) - 3x + 12
    = -------------------- Per
    -3

    - 12 - 3x + 12
    = ------------------------
    -3
    = -3x / -3
    = x

    C. (g^-1 o g) (x) = g^-1 (g(x))
    = g^-1 (4 - 3x)
    = (4 - 3x) - 4 / -3
    = -3x / -3
    = x

    maaf kalau salah :)
    Koreksi lagi ya...

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