Matematika

Pertanyaan

1). Jika g(×)= 3×+2 dan (fog) (×)= 6×+2 maka f(×)=....

2). Jika g(×)= 4×-3 dan (fog)(×)= 8×+1 maka f(-3)=...

3). Jika f(×)= 1-5× dan (fog)(×)= -4-25× maka g (x-1)=...

1 Jawaban

  • 1.(f•g)(x)=6x+2
    f(g(x))=6x+2
    f(3x+2)=6x+2
    misalkan a=3x+2,maka x=a-2/3. Subtitusikan ke 6x+2
    f(x)=6x+2
    f(a)=6(a-2/3)+2
    f(a)=6a-12/3+2
    f(a)=6a-4+2
    f(a)=6a-2
    f(x)=6x-2
    2.(f•g)(x)=8x+1
    f(g(x))=8x+1
    f(4x-3)=8x+1
    misalkan a=4x-3,maka x=a+3/4. Subtitusikan
    f(x)=8x+1
    f(a)=8(a+3/4)+1
    f(a)=8a+24/4+1
    f(a)=8a+6+1
    f(a)=8a+7
    f(x)=8x+7
    f(-3)=8(-3)+7
    f(-3)= -24+7
    f(-3)=-17
    3.(f•g)(x)=-4-25x
    f(g(x))=-4-25x
    1-5(g(x))=-4-25x
    -5(g(x))=-4-1-25x
    -5(g(x))=-5-25x
    g(x)=-5-25x/5
    g(x)=-5x
    g(x-1)=-5x
    g(x-1)=-5(x-1)
    g(x-1)=-5x+5

Pertanyaan Lainnya