Question

find the domain of the given function.
f(x)=sqrt(x+3)/(x+8)(x-2)

Answer 1

is all that mess under the radical?

Answer 2

\[f(x)=\sqrt{x+3}/(x+8)(x-2)\]

Answer 3

only the numerator is under the radical?

Answer 4

do u go to connecitons 8grade

Answer 5

yes @satellite73

Answer 6

no i am in ninth grade

Answer 7

and no @ddds

Answer 8

ok so first lets take care of the numerator
since you cannot take the square root of a negative number, solve
\[x+3\geq 0\] in one step

Answer 9

you got that?

Answer 10

x\[x \ge -3\]

Answer 11

yeah so that is a start

Answer 12

then set the denominator equal to zero and solve, because you cannot divide by zero
i.e solve
\[(x+8)(x-2)=0\] what do you get?

Answer 13

x=2,-8?

Answer 14

right so those values are out
but you can ignore the \(-8\) because we already know \(x\) has to be greater than or equal to \(-3\)
now we also know it cannot be 2

Answer 15

then i guess the question is, how do you write that?
are you supposed to answer in interval notation? in words? as an inequality?

Answer 16

those are my choices

Answer 17

so would it be the second to last?

Answer 18

yeah it is always C

Answer 19

ok thanks so much :)

Answer 20

yw