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f *( x ) = sqrt( cos ( sin(x ) ) )+ sin(^ ( )- 1) ( 1+ x )/( 2x )Find it`s Domain.

f *( x ) = sqrt( cos ( sin(x ) ) )+ sin(^ ( )- 1) ( 1+ x )/( 2x )Find it`s Domain.

Grade:12

1 Answers

Arun
25763 Points
2 years ago
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}. a which is also the final answer.

 

Regards

Arun (askIITians forum expert)

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