Question

what is the excluded value?
y^2-y+5/y+4

Answer 1

If you are asking the excluded value in the domain,
check for what value of 'y' the expression is meaningless.

Answer 2

how do I find the meaningless "y"

Answer 3

put y= -4 and check..

Answer 4

there is a rule in math: no divide by 0. If you try to divide by 0 you get an undefined result.

so if you are ever given a problem with division, you make a point of noting when or if the denominator can be 0.

in your case,
\[ \frac{y^2-y+5}{y+4} \]

notice that if y= -4, you get a 0 in the bottom. No divide by zero rule means,
*exclude y= -4*

(a fancy way of saying, "y is not allowed to be -4... if it is, you can't use this expression"

Answer 5

I assume you can figure out that if you have
y+4 and y is -4 you get
-4+4

and -4+4 is 0