## Fanduekisses one year ago HOW DO YOU FIND THE DOMAIN OF A FUNCTION THAT HAS A FRACTION INSIDE A SQUARE ROOT?

1. Fanduekisses

$f(x)=\sqrt{\frac{ x }{ x^2-2x-35 }}$

2. Fanduekisses

(x-7)(x+5)

3. misty1212

make sure the denominator is not equal to zero AND make sure the expression under the radical is positive

4. Fanduekisses

the whole thing has to be greater or equal to zero right?

5. Fanduekisses

ok...

6. misty1212

yes, and also exclude 7 and -5 because you cannot divide by zero

7. Fanduekisses

Oh so it's [0, -5) U (7, infinity} :D

8. Fanduekisses

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