Question

find the domain for each function:
a.f(x)=5/x+2

b.f(x)=√3-x

Answer 1

do you know what domain is?

Answer 2

That first one is a fraction.
You just need to think what x can be and that is the domain.
What x cannot be is not apart of the domain.
Fractions don't exist when the bottom is 0 <--so start here to find the domain of the first fraction

Answer 3

For example
5x/(x+3) does not exist at x=-3 because that would make the (x+3) , 0.
So the domain of 5x/(x+3) is all real numbers except x=-3

To say that an interval notation you say \[(- \infty , -3) \cup (-3,infty)\]