Find the domain-

f(x)=log _2{x}-3 (x² -5x + 13) , where {x} represents fractional part of x.

0 {x} <1
so 02{x}< 2
which means -3 2{x} -3 <-1

But log is defined for positive base only
So there will no value of x for which above is defined
Domain – { }