jika f(x)= 2x-3 dan g(x)= 1/3x+1 maka (f o g)^-1(x) =
Matematika
methaahelmi
Pertanyaan
jika f(x)= 2x-3 dan g(x)= 1/3x+1 maka (f o g)^-1(x) =
1 Jawaban
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1. Jawaban ahreumlim
fog(x) = 2(x/3 + 1) - 3
= (2x/3) + 2 - 3
= (2x/3) - 1
= (2x - 3) / 3
y = (2x - 3) / 3
3y = 2x - 3
3y + 3 = 2x
x = (3y + 3) / 2
jadi fog⁻¹(x) = (3x + 3) / 2
= (3/2) (x + 1)