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You may try :
sage: %cpaste
Pasting code; enter '--' alone on the line to stop or use Ctrl-D.
:a(x)=(2*x-3)^(1/3)+4
:b(x)=((x-4)^3+3)/2
:--
sage: b(a(x))
x
sage: a(b(x))
((x - 4)^3)^(1/3) + 4
sage: a(b(x)).canonicalize_radical()
x
But beware : such "obvious" simplifications are not always legitimate (think of negative powers or negative exponends...).
