Matematika Sekolah Menengah Atas tentukan f(x-1) jika g(x)=x+2 dan (fog)(x)=x²-2x+5 bantuin pake caranya kak​

tentukan f(x-1) jika g(x)=x+2 dan (fog)(x)=x²-2x+5 bantuin pake caranya kak​

Jawaban:

fog(x) = x²-2x+5

f(x+2) = x²-2x+5

mis: x+2= a <=> x = a-2

f(a) = (a-2)²-2(a-2)+5

f(a) = a²-4a+4-2a+4+5

f(a) = a²-6a+13

f(x-1) = (x-1)²-6(x-1)+13

= x²-2x+1-6x+6+13

= x²-8x+20

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