The functions \(\)f and g are defined as follows:

\(f(x) = \sqrt{\dfrac{x+1}{x-1}}\quad\text{and}\quad g(x) = \dfrac{\sqrt{x+1}}{\sqrt{x-1}}.\)

Explain why the functions f and g are not the same function.

(Sorry if the Latex isn't displaying properly.)

Otterstar Aug 12, 2020