Question

What is the oblique asymptote of the function f(x) = the quantity of x squared plus x minus 2, all over x plus 1?

A Y=x+3

B Y=x

C Y=x-1

D Y=x-3

Answer 1

B Y = x

Explanation:

The oblique asymptote is the quotient that results when the rational expression is divided out. The remainder of that division is responsible for the hyperbola that has a vertical asymptote at x=-1 and the oblique asymptote at y=x.

(x^2 +x -2)/(x +1) = x -2/(x +1)

The oblique asymptote is ...

y = x