Matematika

Pertanyaan

g(x)= 2x+1,
invers fog(x)= -6x+5/2x-2,
invers fungsi f adalah...

1 Jawaban

  • Misalkan:
    2x+1=y
    2x= y-1
    x= y-1/2
    fog(x)= f(g(x)
    -6x+5/2x-2 = f( 2x+1)
    -6( y-1/2)+5 / 2(y-1/2)-2 = f(y)
    -3y+3+5 / y-1-2 =f(y) di bagi 2
    -3y+8/y-3 = f(y)
    f(x) =-3x +8/x-3

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