Question

Determine the domain of the function according to the domain convention
f(x)=-√ -x + 2/x+1

Answer 1

We can first identify that x=-1 will be excluded in the domain. (division by zero undefined)

Answer 2

Then, since we want real numbers, x must be 0 or a negative so that we have square root of a positive number. Thus x<=0

Answer 3

So the domain is x<=0, excluding x=-1

Answer 4

I hope that helps.

Answer 5

but how did you got x=-1

Answer 6

In the original equation, we have 2/(x+1) . If we plug in x=-1, we will have 2/0 which is undefined (doesn't exist). So the domain will not have x=-1. Make sense?

Answer 7

oh ok I see

Answer 8

Nice. So you're okay with the rest of it?

Answer 9

Yup thank you

Answer 10

You're welcome :)