a

{a \over k}

f(a)=f((a-k)+k)

f(x)

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

a

{a - k}

k = 5.5 (slider from -5 to 10, step 0.1)
g(x) = x + k
f(x) = (3 * sqrt(x + 5.185424571911536)) - 1.822186314213269
a = 10 (slider from -5 to 10, step 0.1)
b: (a * 1 / k)
fa: f(a)
h(x) = f(g(x))
gb: h(b)
c: y = fa
E = Intersect(c, yAxis)
A = Intersect(h, c, (4.500000000000002, 9.868357776940224))
d = OrthogonalLine(A, xAxis)
B = Intersect(d, xAxis)
e = Segment(A, B)
C = Intersect(f, c, (10, 9.868357776940224))
h_1 = OrthogonalLine(C, xAxis)
D = Intersect(h_1, xAxis)
i = Segment(C, D)