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.

Answer 1

\[\frac{ \sqrt{x+8} }{ x+4x-6 }\]

simplify
\[\frac{ \sqrt{x+8} }{ 5x-6 }\]

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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.

Answer 6

Yes, you are correct.

Answer 7

the wording is weird on that one.

Answer 8

it is haha and thanks!

Answer 9

No problem.