Given the function f(x) = 5 over 5x - 16, explain how to find the domain and range of the function and it's inverse.

Answer 1

the domain for all rational functions is all reals, except where the denominator is zero. So, the domain here is all reals except x = 16/5

There is a horizontal asymptote at y=0, and there is a vertical asymptote there, positive on one side and negative on the other, so the range is all reals except y=0.