Hi
A fraction is defined wherever the denominator is not equal to 0
For the first one 3x-1=0 for x=1/3
Therefore the domain is IR\{1/3}
Book's kind of skimpy on this
Find the domain of each function.
f(x) = x / 3x - 1
another one
f(x) = 5x + 4 / x^2 + 3x + 2
From how the book explains it, the only way I know to solve these is to plug random numbers in and see, but that's not exactly practical.
Thank you for any help.
Let me clarify what I mean. Basically, I want to know how I can systematically work out the domain without just guessing what wouldn't work.
It can be inferred just by looking at the first problem that the demoninator will be 0 if x = 1/3, but I really don't know what to do with the next problem. Is there something obvious I'm missing? Could someone work out the next problem, step-by-step?
Maybe the next problem IS obvious just by looking to most of you, I dunno. Never been good in math. But suppose there were a problem that wasn't.