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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» (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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