Matematika

Pertanyaan

diketahui f(×)=2×-1 dan g(×)=3×+5 tentukan a.(fog)^-1(×) b.(gof)^-1(×) c.fog)-1(1) d.(gof)^-1(-2)

1 Jawaban

  • diketahui f(×)=2×-1 dan g(×)=3×+5 tentukan
    a.(fog)^-1(×)
    y = 2(3x+5)-1
    y = 6x + 9
    6x = y -9
    x= y-9 / 6
    (fog)-¹(x) = x-9 / 6
    b.(gof)^-1(×)
    y = 3(2x-1)+5
    y=6x+2
    6x=y-2
    x= y-2 / 6
    (gof)-¹(x)= x+2 / 6
    c.fog)-1(1)
    = 1-9 / 6
    =-8/6
    =-4/3
    d.(gof)^-1(-2)
    =-2+2 / 6
    =0/6
    =0

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