Rational Function from Asymptote and Intercept
Determine the rational function of the form $$f(x)= \frac{a*x+b}{x+1}$$ that is continuous for all x, has an oblique asymptote with slope 2, and satisfies $$f(0)=-1$$. Which equation below is correct?
Given: f(0) = -1 (from b/(1) = -1) and an oblique asymptote with slope 2 for functions of the form f(x)= (a*x+b)/(x+1).
A
$$\frac{2*x-1}{x+1}$$
B
$$\frac{2*x-3}{x+1}$$
C
$$\frac{3*x-1}{x+1}$$
D
$$\frac{2*x+1}{x+1}$$
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