find the domain of:sqrt.(cos(sin x)) + arc. sin {(1+x2) / (2x)}

Dear kapil ,

for addition find the domians of both the terms and intersect them to get the final domain .

here first term has doamin R as al values of x are possible. for second term ,

1+x²  / 2x  must lie between -1 and 1 . 

               1 ≥   1+x²  / 2x ≥  -1     solving will get , R - { 0}.  awhich is also the final answer.

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