Identify the excluded values of the rational expression x^2+2x-3/x^2+5x+6

The excluded values of the rational expression are -3 and -2.

Step-by-step explanation:

If a ration function is defined as , then the excluded values of the rational function are those values for which q(x)=0.

The given rational expression is

Factories the numerator and denominator.

               .... (1)

Equate the denominator equal to 0.

Using zero product property,

Therefore the excluded values of the rational expression are -3 and -2.

Cancel out the common factors of equation (1)

for (x≠-3)

It means x=-2 is vertical asymptote and x=-3 is hole.

step-by-step explanation:

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