Determine the domain of the function.
y = 
Solution:-
The numerator can be any number. Values of x for which the expression is undefined are values that make the denominator equal to 0.
Set the denominator equal to zero to find these values.
x2 + 2x -8 = 0
Factor the denominator.
(x + 4 )(x-2) = 0
Solve the equation to obtain the values of x that are exchange in the given expression.
x + 4 = 0 or x- 2 = 0
x = -4 or x = 2
The domain of the original function is {x | x ≠ – 4 and x ≠ 2}