Question

Find the domain of the given function.
f(x)=(sqrt (x+8))/((x+4)(x-6))

Answer 1

@lalaly @ParthKohli

Answer 2

@whpalmer4 @goformit100

Answer 3

the answer i got is x ≠ -8, x ≠ -4, x ≠ 6. not sure if its correct though

Answer 4

It's correct. I suppose

Answer 5

ok, thanks

Answer 6

\[f(x) = \frac{\sqrt{x+8}}{(x+4)(x-6)}\]

Why can't \( x = -8\)? \(x=-4\) and \(x=6\) cause a division by 0, so they are restricted values, but what's wrong with \(x=-8\)? What stops you from evaluating the function at that value of \(x\)?

Also, what about values of \(x\) where \(x < -8\)? Are they allowed?