Matematika

Pertanyaan

tolong jawab kak, beserta caranya dikumpul hari ini
tolong jawab kak, beserta caranya dikumpul hari ini

1 Jawaban

  • diket:
    f(x)= 3x+7
    h(x)= (x-3)/(x+1)
    gof(x)= (3x+7)/(3x+9)

    dimisalkan
    3x+7= a
    3x=a-7
    x=(a-7)/3

    gof(x)= (3x+7)/(3x+9)
    g(a)=(3(a-7)/3 +7)/(3(a-7)/3 +9)
    = ((a-7)+7)/((a-7)+9)
    = (a)/(a+2)
    g(a)= a/(a+2)
    g(x)= x/(x+2)

    maka:
    goh(x)= g(h(x))
    = (x-3)/(x+1) : ( (x-3)/(x+1) +2)
    =(x-3)/(x+1) : ( ((x-3) + 2(x+1))/(x+1) )
    =(x-3)/(x+1) : ( (x-3+2x+2)/(x+1) )
    = (x-3)/(x+1) : ( (3x-1)/(x+1) )
    =(x-3)/(x+1) * (x+1)/(3x-1)
    = (x-3)/1 * 1/(3x-1)
    = (x-3)/(3x-1)....

    jawaban: B.