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

Question 19341: Hello
My daughter need help finding the domain of the rational function.
f(x)=x^2-36/x^2-7x+6
Thanks
Answer 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

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