thanks very soo far askiitians........i have another question

Hi Student
Domain of sin^-1x is between [-1,1]
=> -1 < [2-4x²] <1
-1< [2-4x²]
this means -1<2-4x²< 0 (for above to be true)
=> -3<-4x²<-2
=> 3>4x²>2
=> 3/4> x²> ½
Similarly you can solve the other inequality [2-4x²]<1 by taking 0<2-4x² <1

and find the common solution

If you still are having please reply on this thread.