p = 5.830000000000004
f_p(x) = p x + (1 - p) x^(2)
f(x) = 1 / x
A = Intersect(f, f_p, (-0.363123298947598, -2.753885533916977))
B = Intersect(f, f_p, (0.9999999999270255, 1.0000000000729745))
C = Intersect(f, f_p, (0.5701626364144515, 1.7538855339393011))
a = Tangent(C, f)
b = Tangent(C, f_p)
α = Angle(a, b)
g(x) = 4 x - 2 - 2 sqrt(4 x - 3) + 4 (1 - x)^(3) - 4 (1 - x)^(2) sqrt(4 x - 3)