# SOLUTION: Hello My daughter need help finding the domain of the rational function. f(x)=x^2-36/x^2-7x+6 Thanks

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 Click here to see ALL problems on Functions Question 19341: Hello My daughter need help finding the domain of the rational function. f(x)=x^2-36/x^2-7x+6 ThanksAnswer by xcentaur(357)   (Show Source): You can put this solution on YOUR website!f(x)= Factoring both the numerator and denominator, f(x)= Cancelling out the common term we are left with, f(x)= To understand our constraints we just need to look at our function. Now lets look at the denominator, we see that it is (x+1). This means that if x is '-1',then the denominator would become (-1+1)=0. Now division by zero is not allowed, therefore value of x cannot be allowed to become as -1. That is our first constraint,and as nothing else is given in the question,apparently the only one. So our value of x should belong to Real numbers,and x should not be equal to -1. This becomes our domain: D={x|x belongs to R;x not equal to -1} Hope this helps, Prabhat