Question

Interval Notation Help!!!
Could you check these? I don't think I'm doing this right! Will post pic below!

Answer 1

Please help!!!

Answer 2

Looks right to me and im good at this

Answer 3

Are you sure? What math are you in?

Answer 4

im in algebra and geometry iv practiced all math tho

Answer 5

im 2nd best in my class im pretty good at math every once in a while ill need help on a question to

Answer 6

everyone does

Answer 7

the "domain" are "allowed" x values
normally, all x values are used.
but sometimes, the formula can run into problems for some x values
For example, divide by 0 is not allowed. if there is an x value that cause a divide by zero, we exclude it from the domain

the other place we run into trouble is square root of a negative number, so we don't allow it. That is what you have to do for your problems.

Answer 8

in your first problem
\[ \sqrt{x+5} \]
we do *not* want x-5 to be negative
in other words we want
x-5 \(\ge \) 0
or
\( x \ge 5\)
that is the domain (allowed x values)

Answer 9

I mysteriously changed x+5 to x-5. But hopefully you can still do the problem:
you want
\[ x+5 \ge 0\\ x \ge -5 \]
so the domain (allowed x values) is
\[ [-5, +\infty) \]