Nope.
* * * * *
The above answer is so wrong!
Suppose f and g are two transformations where
f(x) = 2x, and
g(x) = x2
Then f(g(x)) = f(x2) = 2x2
While
g(f(x)) = g(2x) = (2x)2=4x2
Therefore f(g(x)) = g(f(x)) only when x = 0
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No, all functions are not Riemann integrable
Dilation is a transformation in which a figure is enlarged or reduced.
It is usually a shape, on the coordinate plane, BEFORE a transformation.
Please don't type "the following" if you don't provide a list.The tan and cot functions have a shorter period than sine and cosine.
http://www.nationmaster.com/encyclopedia/Jacobi's-elliptic-functions have a look at this