SOLUTION: 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

Algebra ->  Functions -> SOLUTION: 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      Log On


   



Question 1164391: 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.

Answer by ikleyn(52795) About Me  (Show Source):
You can put this solution on YOUR website!
.

Please , do not copy-paste from your source,

since your post becomes UNREADABLE then at the forum.


This forum accepts only plain text messages.

So, write / (re-write) your post in plain text format.


If you will re-post, then PLEASE re-post to the forum, as you routinely do.

Do not post it to me personally.


Have a nice day (!)