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root(x-1/x-2{x}) , where {..} denotes fractional part .
For the function to be defined, x-1>0 and x-2{x}>0 => x>1 and x>=1 or x<=-1 Take the union of the two, x>1 Also, the function is defined when x-1<0 and x-2{x}<0 =>x<1 and -1<x<0 or 0<x<1 => {-1<x<1} - {0} So, the domain will be
For the function to be defined,
x-1>0 and x-2{x}>0
=> x>1 and x>=1 or x<=-1
Take the union of the two, x>1
Also, the function is defined when
x-1<0 and x-2{x}<0
=>x<1 and -1<x<0 or 0<x<1
=> {-1<x<1} - {0}
So, the domain will be
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