What is the equation of the oblique asymptote. h(x)=x^2-x-2/x+1 a.) y=x b.) y=x-2 c.) y=x^2+1 d.) y=x+1

Option: B is the correct answer.

                B.        

The oblique asymptote occur when the degree of the numerator term is greater than the degree of the denominator term.

It is also known as the slant asymptote.

In order to find this we divide the numerator term by the denominator term and hence the resultant i.e. the quotient  is the oblique asymptote.

Here we have a rational function as:

Hence, the oblique asymptote is:

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true