Tolong di bantu ya :)

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Tolong di bantu ya :)

Tolong di bantu ya 🙂

Jawaban Terkonfirmasi

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)