Consider the given rational function.
y=4/x+1
To identify the excluded value, we must remember that the denominator cannot be 0 because division by 0 is not defined. Let's find the value of x that would make the denominator equal to 0.
x + 1 = 0 ⇔ x = - 1
If x=- 1, the value of the denominator is 0. Therefore, the excluded value is - 1.