Answer:
Given
f : R R and g : R
R defined as
and g(x) =
[x]
(fog)
(x) = f(g(x)) = f([x])
and
(fog) (x) = g(f(x))
=
[1] = 1
Clearly
(fog) (x) and (gof) (x) does not coincide
.
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