What is the inverse of h(x) = 12x / (x-1)

Answer 1

To calculate the inverse, set

y = 12x/(x-1)

and express x as a function of y

y(x-1) = 12x

x = y/(y-12)

If you want to write h^-1 as a function of x rather than y, then

h^-1(x) = x/(x-12)