Question

Find the domain of the given function. f(x) = square root x+8/(x+4)(x-6)
@agent0smith

Answer 1

Set the denominator equal to zero, solve, and exclusive those values from the domain. All other real numbers are permissible.

Answer 2

Domain of a rational function like this is found by finding where the denominator equals zero, since you can't divide by zero.
\[\large (x+4)(x-6) \ne 0\]

Answer 3

wait so what do i do

Answer 4

is it x ≠ -8, x ≠ -4, x ≠ 6
@agent0smith

Answer 5

Plug in x=-8 to see why there's no problem with x being -8.

Answer 6

all real numbers?

Answer 7

Reread the first two posts...

Answer 8

x ≥ -8, x ≠ -4, x ≠ 6

Answer 9

Read the first two posts again :P

Answer 10

x>0

Answer 11

Read what we said in the first two posts.

Answer 12

i did

Answer 13

"Set the denominator equal to zero, solve, and exclude those values from the domain."

Answer 14

are any of thoes answers right

Answer 15

You have too many answers.

Answer 16

what do you mean

Answer 17

"is it x ≠ -8, x ≠ -4, x ≠ 6"

"Plug in x=-8 to see why there's no problem with x being -8."

Answer 18

and i did

Answer 19

Oh sorry i missed that there's a square root in this.

\[\Large f(x) = \frac {\sqrt{x+8}} {(x+4)(x-6)}\]is this it?

Answer 20

If so, x ≥ -8, x ≠ -4, x ≠ 6 is right.

Answer 21

I missed it too!

Answer 22

yrs!

Answer 23

Good job then! :)