Matematika

Pertanyaan

1. f(×) = 3× - 2
g(×) = ×/ × - 1
Tentukan :
a. (f°g) (×) =....
b. (f°g)-1 (×)=......
1. f(×) = 3× - 2 g(×) =  ×/ × - 1 Tentukan : a. (f°g) (×) =.... b. (f°g)-1 (×)=......

1 Jawaban

  • f(x) = 3x-2
    g(x ) = x / x - 1
    a. (fog) (x) = 3(g(x))-2
    = 3(x / x-1) - 2
    = 3x-2(x-1) /x-1
    = 3x-2x+2 / x-1
    = x+2 / x-1

    b.
    (fog)(x) = x+2 / x-1
    y=x+2 / x-1
    y(x-1)=x+2
    xy-y=x+2
    xy-x=y+2
    x(y-1)=y+2
    x=y+2 / y-1
    (fog)^-1(x) = x+2 / x-1