Question

Can someone help me solve step by step, I need to find the domain..
g(t)=sqrt(3-t) - sqrt(2+t)

Answer 1

sqrt(x) will not give real numbers when x is negative,that is when x<0
u got this?

Answer 2

uhm, no. That confused me. I know that you cannot have a zero with sqrt.. is that what you mean?

Answer 3

i mean sqrt(-1) or sqrt(-3) is not real.
or any negative numbers' square root is not real,so that would not be included in the domain. ok?

Answer 4

oh okay. that makes sense.

Answer 5

so t cannot be anything less than 3?

Answer 6

if t is 1 then 3-1=2 is positive,so t can be less than 3.
what u have to do is to make x>0 in sqrt(x)
so here 3-t>0 is your domain for 1st term.

Answer 7

I mean t can't be greater than 3

Answer 8

ok?
so t<3 is actually your domain for 1st term
now can u work out second term for me?

Answer 9

yes,thats correct then

Answer 10

t cant be less than -1?

Answer 11

where did -1 come from ??
i see 2+t>0

Answer 12

t>-2?

Answer 13

t<-2 lol

Answer 14

its t>-2
ok?
can we go ahead?

Answer 15

is it 3>t>-2?

Answer 16

{3>t>-2}

Answer 17

yes.do u have options?

Answer 18

nope, I have to solve it... not multiple choice or anything.

Answer 19

then i will give u a set notation to write the domain:

thats read as
for all x,such that t belongs to Real numbers,t greater than -2 and less than 3.
got it?