1.

Find the domains of defination of the following functions: (a) f(x)=sqrt(x^(3)-x^(2)), (b f(x)=sqrt(sin sqrtx) (c) fx)=sqrt(-sin^(2) pix), (d) f(x)=(1)/sqrt(|x|-x|) and g(x)=1/sqrt(x-|x|) (e) f(x)=arc sin (|x|x-3), (f) f(x)=arc cos ""1/(sin x)

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Answer :(a) `(1, +oo); (B) (2npi)^(2) LE x le (2n+1)^(2) PI^(2) (n=0,1,2,.....)`
(c) `x=0, PM 1, +2,.....; (d) (-oo,0)` (e) `[-4,2] or [2,4]`
`(f) x=(2n+1) pi/2 (n=0, pm1, PM2,...)`


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