Matematika

Pertanyaan

f(x) = 2 x + 5
g(x) = 1 - 3x

a) h(x) = g(x)
____
f(x) = ?
b) h^-1 (x) =?

1 Jawaban

  • a. misal g(x)= 0
    maka ;
    g(x) = 1 - 3x
    0 = 1 -3x
    3x = 1
    x = 1/3

    f(x) = 2x + 5
    = 2 1/3 + 5
    f(x) = 7 1/3

    b. h(x) = g(x)
    h^-1 (x) = 1/(1 - 3x)
    = 1/(1 - 3 . 7 1/3)
    = 1/ (1 - 21 1/3)
    = 1/(-61/3)
    = 1 x(-3/61)
    = -3/61

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