Question

HOW DO YOU FIND THE DOMAIN OF A FUNCTION THAT HAS A FRACTION INSIDE A SQUARE ROOT?

Answer 1

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

Answer 2

(x-7)(x+5)

Answer 3

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

Answer 4

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

Answer 5

ok...

Answer 6

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

Answer 7

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

Answer 8

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