The functions $f$ and $g$ are defined as follows: \[f(x) = \sqrt{\dfrac{x+1}{x-1}}\quad\text{a nd}\quad g(x) = \dfrac{\sqrt{x+1}}{\sqrt{x-1}}.\]Ex plain why the functions $f$ and $g$ are not the same function. Please help, I can’t seem to find the domain of f :(

The answer is "domain and range are different".

Step-by-step explanation:

Given:

Solve f(x) to find domain and range:

for element x: R:

⇒ range:

Solve for domain:

⇒  

Solve for range:  

⇒  R :

So, the value of the method f(x) and g(x) (range and domain) were different.  

give more details

step-by-step explanation:

cosine

step-by-step explanation: