Gimana sih caranya tolong bantuin fungsi f(x)=2x-3/4x+1 x=-1/4 g(x)=x-2 invers (fog) adalah (fog)-1(x)
Matematika
ussi97
Pertanyaan
Gimana sih caranya tolong bantuin fungsi f(x)=2x-3/4x+1 x=-1/4 g(x)=x-2 invers (fog) adalah (fog)-1(x)
1 Jawaban
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1. Jawaban aqilladaharim
f(x)=2x-3/4x+1
g(x)=x-2
(fog)(x)=f(g(x))
f(x-2)=2(x-2)-3/4(x-2)+1
2x-4-3/4x-8+1=2x-7/4x-7 karena f0g(x)=y maka
y=2x-7/4x-7
y(4x-7)=2x-7
4xy-7y=2x-7
4xy-2x=7y-7
x(4y-2)=7y-7
x=7y-7/4y-2
(fog)-1(x)=7x-7/4x-2
gantikan variabel x dengan -1/4
7.-1/4-7 / 4.-1/4-2
-7/4-7/-3
-7/4-28/4/-3
-35/4 x -1/3 =35/12