Assymptote de la courbe de la composée
Author: Hédi Abderrahim
Date: 7 Novembre 2013

Courbe \;  et \;  asymptote \;  oblique  \; de \;  la \;  fonction  \; composée

\left( C_{f}  \right) 

\left(  C_{g} \right) 

D_{1}

D_2

f(x) = -x + 2 + 3 / (x^(2) + 1)
d_1 = Asymptote(f)
g(x) = 0.5 * x + 1 + 3 * x / (x^(2) + 1)
m(x) = 0.5 * x + 1
A = Point(f)
B = Point(g)
C = Point(m)
D = Point(d_1)

Tool: Asymp Comp (command AsympComp)
Input: xAxis, yAxis, f, g, M, e
Output: lieu1

f(x) = -x + 2
g(x) = 0.5 * x + 1
a = OrthogonalLine(M, xAxis)
b = OrthogonalLine(M, yAxis)
M_1 = Intersect(b, yAxis)
M_2 = Mirror(M_1, e)
h = OrthogonalLine(M_2, xAxis)
M_3 = Intersect(g, h, (2.8099999999999996, 2.405))
k = Line(M_3, xAxis)
M_4 = Intersect(k, a)