SOLUTION: i'm having problem finding the domain ... is there a simpler way to find the domain? f(x)=5x/x-1

Question 79574: i'm having problem finding the domain ... is there a simpler way to find the domain? f(x)=5x/x-1

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
i'm having problem finding the domain ... is there a simpler way to find the domain? f(x)=5x/x-1
----------------
Don't try to see what the domain is; try to see what the domain is NOT.
The domain is limited if there are variables in the denominator of the
function and if there are radicals. Denominators cannot be zero and
radicands must not be negative if the index is even.
-----------
Your Problem has a denominator; it must not be zero.
So x cannot be 1.
It has no radicals so that is the only restriction for the domain.
Answer: All Real Numbers except x=1
============
Cheers,
Stan H.
RELATED QUESTIONS
I need a refresher on finding range & domain please! f(x)= 1+x^2 What is the range &... (answered by AnlytcPhil)

Hi, my problem is: Find the domain of the function: f(x) =... (answered by scott8148)

For the following: f(x)= 5x^2-70x+227, I need to find: Shifted Form Range x-Intercept (answered by MathLover1)

Could you please help me with this problem? I am given the function f(x)= x^2 + 2x + 6... (answered by solver91311,Theo)

How do I solve f(x)= (x-4)^2 where x is less than equal to 4? I'm having trouble... (answered by stanbon)

I'm having a hard time w/ this and could really use some help please!: For "a" am I... (answered by Boreal,Theo)

Hi, I need some help on finding domain. The example I have been working on is: If... (answered by Gogonati)

I just learned Composite functions last class and I am really struggling with it... Is... (answered by stanbon)

HI, I need help finding the domain for f(x)=|x-4| Would "x" be the domain? I... (answered by reviewermath)