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.

Question

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.

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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.

anonymous · Answer

Yes, you are correct.

anonymous · Answer

the wording is weird on that one.

anonymous · Answer

it is haha and thanks!

anonymous · Answer

No problem.