selidiki g(x)=2x+1/x fungsi invers bagi f(x)=1/x-2!

y = 1/x-2
x-2 = 1/y
x = 2+ 1/y
x = 2y+1/y
f-1(x) = 2x+1/x
sehingga
f-1(x) = g(x)

f(x) = 1/(x - 2)
y = 1/(x - 2)
y(x - 2) = 1
yx - 2y = 1
yx = 2y + 1
x = (2y + 1)/y
f^-1(x) = (2x + 1)/x
f^-1(x) = g(x)
Jadi benar bahwa g(x) invers dari f(x)