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Find the domain- f(x)=log 2{x}-3 (x 2 -5x + 13) , where {x} represents fractional part of x.

Find the domain-
 
f(x)=log 2{x}-3 (x2 -5x + 13) , where {x} represents fractional part of x.

Grade:11

1 Answers

Harsh Patodia IIT Roorkee
askIITians Faculty 907 Points
7 years ago
0 \leq {x} <1
so 0\leq2{x}< 2
which means -3\leq 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 – { }

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