Matematika

Pertanyaan

Diketahui
f(x)=2x+5
g(x)=X-2
Tentukan
a.f~1 dan g~1
b.(Fog)~1

1 Jawaban


  • f(x) = 2x + 5
    x = (f(x) - 5)/2

    f^-1 (x) = (x - 5)/2 ✔

    ••
    g(x) = x - 2
    x = g(x) + 2

    g^-1 (x) = x + 2 ✔

    •••
    (fog^-1 (x)
    = g^1 o f^-1
    = (x - 5)/2 + 2
    = (x - 5 + 4)/2
    = (x - 1)/2 ✔

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