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18 October, 06:40

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

+1
Answers (1)
  1. 18 October, 06:53
    0
    B Y = x

    Step-by-step 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
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