a

{a \over k}

f(a)=f(a)+k

f(x)

g(f(x))=f(x)+k

a

{a + k}

f(a)

a = 10 (slider from -5 to 10, step 0.1)
c: x = a
E = Point(c)
f(x) = (3 * sqrt(x + 5)) - 2
k = 6.5 (slider from -5 to 10, step 0.1)
g(x) = x + k
h(x) = g(f(x))
B = Intersect(h, c, (10, 16.118950038622252))
b: (a * 1 / k)
fa: f(a)
gb: h(b)
C = Intersect(f, c, (10, 9.618950038622252))
d = Segment(E, B)
e = OrthogonalLine(C, yAxis)
i = OrthogonalLine(B, yAxis)
A = Intersect(e, yAxis)
D = Intersect(i, yAxis)
j = Segment(D, B)
l = Segment(A, C)
F = Intersect(f, l, (10, 9.618950038622252))
G = Intersect(h, d, (10, 16.118950038622252))
m = Segment(F, G)