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zzelinski · Answer

Find the domain of $$ \frac{ 3x-5 }{ 5x-35 }$$

tkhunny · Answer

Factor what can be factored and you should see it.

zzelinski · Answer

I forgot how to factor?

zzelinski · Answer

I got $$\frac{ 3x }{ 5x+7 }$$ but I'm not sure its right....

tkhunny · Answer

Seriously?  No, you didn't.

I am certain you can change $5x-35$ into $5(x-7)$.

tkhunny · Answer

Factors and terms are not the same thing.  All there is to do with this expression it to factor the denominator.

tkhunny · Answer

$\dfrac{3x-5}{5x-35} = \dfrac{3x-5}{5(x-7)}$  That's it.

Now, what happens when you try x = 7 in that last expression?

zzelinski · Answer

I got 16

tkhunny · Answer

Try again.  If x = 7, what is x-7?

zzelinski · Answer

I got 16 again....I see what you're saying, that like $$x\neq 7$$ I'm sorry, my brain just isn't working right today x(

tkhunny · Answer

You cannot get 16.  The denominator is zero (0)!  You seem to be ignoring that important fact.

zzelinski · Answer

Oh...its undefined...? I have a feeling this is wrong, as well. Thanks for your help, I'm going to try this problem again later.

tkhunny · Answer

That's the spirit.  Now, please work on your factoring.  You WILL need to know the difference between a TERM and a FACTOR.  Good luck.