SOLUTION: I am so lost, if anyone could please answer this one I'd really appreciate it: What is the domain of g(x) when {{{g(x)=(x+3)/(2x-5)}}}

Question 93239: I am so lost, if anyone could please answer this one I'd really appreciate it: What is the domain of g(x) when
Found 2 solutions by Earlsdon, stanbon:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
What is the domain of g(x) when:

You'll recall, no doubt, that the domain of a function is the set of all possible values of the independent variable, which is x in this case.
First, we need to examine the denominator of the given function (2x-5) and ask..."what value of x will cause this to become zero?"
You can find out by setting the denominator equal to zero and solving for x.
Add 5 to both sides.
Divide both sides by 2.

So, when the denominator of the function becomes zero, and, as you know, mathematics does not allow division by zero. It undefined. Therefore, we must exclude from the domain. All other real values of x, however, are legal, so we can write the domain as:

You would read this as..."all the real numbers not incuding 5/2"

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The denominator cannot be zero.
It is zero when 2x-5=0
when x = 5/2 or 2 1/2
------------------
Therefore the domain is "all Real Numbers except x=2 1/2"
==================
Cheers,
Stan H.
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