Jika f(x-3) = 2x-4 maka tentukan [tex]f ^{ - 1} (x)[/tex]
Matematika
alifiahnrl
Pertanyaan
Jika f(x-3) = 2x-4 maka tentukan
[tex]f ^{ - 1} (x)[/tex]
[tex]f ^{ - 1} (x)[/tex]
1 Jawaban
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1. Jawaban yourvin
Materi : Fungsi Invers
Diketahui
f(x-3) = 2x-4
misalkan, u = x-3 maka x = u+3
f(u) = 2(u+3)-4
f(u) = 2u + 6 - 4
f(u) = 2u + 2
f(x) = 2x+2
maka f-1 = y = 2x + 2
2x = y - 2
x = (y-2)/2
f-1 = x-2/2
semoga membantu
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