## anonymous one year ago Find the domain of the given function. f(x) = square root of quantity x plus eight divided by quantity x plus four times quantity x minus six.

1. anonymous

$\frac{ \sqrt{x+8} }{ x+4x-6 }$ simplify $\frac{ \sqrt{x+8} }{ 5x-6 }$

2. anonymous

supposed to be $\sqrt{x+8}$ at the second function.

3. anonymous

no no its (x+4)(x-6) at the bottom

4. anonymous

so would the answer be x ≥ -8, x ≠ -4, x ≠ 6

5. anonymous

Domain is the range of x value where y is not undefined when plugging in the x Ways when y is undefined when square root is x<0 or less than zero when the denominator is zero.

6. anonymous

Yes, you are correct.

7. anonymous

the wording is weird on that one.

8. anonymous

it is haha and thanks!

9. anonymous

No problem.