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.
Please explain why and show your work.
THANKS
See https://web2.0calc.com/questions/i-m-stuck-on-this-problem