What is the oblique asymptote of gx) = x2-3x-5?
O y = x + 5
O y = x – 5
O y = 5x
O y = -5x

Answer:
B) [tex]y=x-5[/tex]
Step-by-step explanation:
Because [tex]g(x)=\frac{x^2-3x-5}{x+2}[/tex] simplifies to [tex]x-5+\frac{5}{x+2}[/tex], we only care about the quotient, which will be our oblique asymptote equation. Therefore, the oblique asymptote for the function will be [tex]y=x-5[/tex]. See the attached graph for a visual.