F-¹(x) dari f(x)= 2x+8/x-1; x 1 Adalah

Cara I :
y = 2x+8 / x-1
y(x-1) = 2x+8
xy – y = 2x+8
xy – 2x = 8+y
x(y – 2) = 8 + y
f-1(x) = y+8 / y-2
= x+8 / x-2

Cara II :
f(x) = ax+b / cx+d
f-1(x) = -dx+b / cx-a

f(x) = 2x+8 / x-1
f-1(x) = -(-1)x+8 / x-2
= x+8 / x-2