Matematika

Pertanyaan

Diketahui g(x) = 2x - 7 dan h(x) = x + 2 / 3
Tentukan fungsi komposisi ([tex] g^{-1}[/tex] o h) (x)!

1 Jawaban

  • g (x) = 2x - 7 dan h (x) = x + 2/3
    misal.g(x) = y
    y = 2x - 7
    2x = y + 7
    x = (y + 7)/2
    g-1(x) = (x + 7)/2
    g-1oh (x) = g-1 { h(x) }
    = g-1(x + 2/3)
    = {(x + 2/3) + 7 } / 2
    = (x + 2/3 + 7) / 2
    = (x + 2/3 + 21/3) / 2
    = (x + 23/3)/2
    = 1/2x + 23/4

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