What is the inverse of x/x-6?

Question

What is the inverse of x/x-6?

Answer 1

is x-6 an equation? if so, then its inverse is (x-6)/x. If not, then x/x = 1, 1-6 = -5, and the inverse of that is -1/5.

Answer 2

let y = x/x-6

=> y(x-6) = x

=> xy - 6y = x

=> xy - x = 6y

=> x(y-1) = 6y

=> x = 6y/(y-1)

replacing y by x

y = 6x/x-1 which is your inverse QED

Answer 3

The inverse of x/x-6 = 1-(6/x)

Answer 4

Inverse in the most general sense means reciprocal.

Inverse of x/(x-6) is 1/ { x/(x-6) } = (x-6)/x

CHEERS