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7 years ago


Answers : (2)


hi ,

 for  root(2-x2) to be real we must have x^2=<2 emplies  that

x ε [-root2 , root 2]

then, for (1-root(2-x2) to be real , root(2-x2)=<1 , emplies (2-x2)=<1

x^2 >= 1  so , x ε [-root2 , -1 ] U [1, root2 ]

 we need not further analysis becoz   root(1-root(2-x2)) will always less than 1

so, the domain will be     x ε [-root2 , -1 ] U [1, root2 ]


7 years ago

-2<=x<=-1 and 1<=x<=2

5 years ago

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