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-
Matematika
Mayaaau
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)=...
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
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1. Jawaban ichitan
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