Question

Dik: F(x) =3x-2
G(x) =x/x-1
Dit:(FoG) -1 (x) ??

Answer 1

Verified answer

F(x) = 3x - 2
g(x) = x / (x - 1)

(f o g) (x) = f(x / (x - 1))
= 3(x / (x - 1)) - 2
= (3x / (x - 1)) - 2

y = (3x / (x - 1)) - 2
y + 2 = 3x / (x - 1)
(y + 2)(x - 1) = 3x
x = (y + 2)(x - 1) / 3

Jadi (f o g)-¹ (x) = (y + 2)(x - 1)/3

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