tolong di bantu ya :)
Matematika
Fariz072
Pertanyaan
tolong di bantu ya :)
1 Jawaban
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1. Jawaban dharmawan14
g (x) = x + 2 dan ( f o g )-1(x) = 2x + 3, f (x) = ?
cari dulu g-1(x)
misal g (x) = y
y = x + 2
x = y - 2
g-1(x) = x - 2
dari rumus ( f o g )-1(x) = g-1 o f-1 (x)
g-1 { f-1(x) } = 2x + 3
f-1(x) -2 = 2x + 3
f-1(x) = 2x + 3 + 2
f-1(x) = 2x + 5
f(x) = { f-1(x) }-1
misal f-1(x) = y
y = 2x + 5
2x = y - 5
x = (y -5)/2
f (x) = (x - 5)/2
5) f(x) = (2x + 1)/(x -3)
y = (2x + 1) /(x - 3
(x -3)y = (2x + 1)
xy - 3y = 2x + 1
xy - 2x = 3y + 1
(y - 2)x = 3y + 1
x = (3y + 1) / (y - 2)
f-1(x) = (3x + 1) / (x - 2)