Matematika

Pertanyaan

jika f(x)=1/x dan g(x) =2x-1,maka (fog)^-1(x) =.....

2 Jawaban

  • (fog)= (1/(2x-1))
    kalo invers, bikin aja x=
    2xy-y=1
    2xy=1+y
    x=(1+y)/2y
    y=(1+x)/2x
  • (fog)^-1(x) = f[g(x)] = f(2x-1) = 1/(2x-1)misal: fy = 1/(2x-1)
    y(2x-1) =1
    2xy-y = 1
    2xy= y+ 1
    x= (y+1)/(2y)
    (fog)^-1 (x) = (x+1)/(2x)

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