The problem says to find the domain of (x+5)/(x^2+1) and state your answer in interval notation.
If we set x^2 + 1 = 0,
Then we get that x^2 = -1,
and since this can never be true,
There should be no real domain.
But,
The graph shows a line that has part of a wave at the origin and levels out to no identifiable asymptotes.
What am I doing wrong?
+23251 The domain is the set of all numbers that are allowed to be used for x.
Every number can be used, so the domain is the set of all real numbers.
Your mistake came in this:
"Then we get that x^2 = -1, and since this can never be true, there should be no real domain."
Instead of saying "there should be no real domain", you should have said "since this can never be true, there are no numbers that are eliminated". (You need to eliminate all the numbers that make the denominator zero; if no numbers make the denominator zero, none are eliminated.)
