the inverse exists.
already done here :
http://targetiit.com/iit-jee-forum/posts/inverse-and-graph-4753.html
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does its inverse exist??..
The explanation is not satisfactory that
here as the graph suggest x+sinx has symmetry about y=x line!
so f(x)=inverse of f(x)!
it does NOT have symmetry about y=x line
the inverse exists.
already done here :
http://targetiit.com/iit-jee-forum/posts/inverse-and-graph-4753.html
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