SOLUTION: Find the domain of: f(x)= x/xsquared+3x-4

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Question 5748: Find the domain of:
f(x)= x/xsquared+3x-4
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)= x%2F%28x%5E2%2B3x-4%29

factorise the denominator --> (x-1)(x+4)

So the denominator is ok for any value of x, except 2 values --> x=+1 and x=-4. Eith of these, means that the denominator is zero. And a zero on a denominator is NOT good --> you get infinity as the answer.

So your domain is xeR, but x not 1 or -4.

jon.