Answer:
The simplified value of given express is 3 for values of x excluding 2.
Step-by-step explanation:
The given rational expression is
Taking out the common factors from numerator.
Cancel out the common factors.
The simplified value of given express is 3 for values of x except those for which the denominator is equal to 0.
Equate denominator equal to 0.
It means at x=2, the denominates is equal to 0.
The excluded values is 2.
Therefore the simplified value of given express is 3 for values of x excluding 2.
Vertical asymptotes happen at x=a if the function is undefined at x=a.
This is a rational functions, and rational functions are not defined when the denominator is zero, since you can't divide by zero.
In this case, the denominator is zero if
And thus the function has a vertical asymptote at x= -3/2