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The domain of definition of the function $f (x) = {x}^{[x]} + [x]^{[x]}$ (where t . ) represents fractional part and t . ] represents greatest integral function) is

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R - I

$R - {I \cup (0, 1)}$

R-[0, l)

$I \cup (0, 1)$

answer is C.

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Detailed Solution

$f (x) = {x}^{{x}} + [x]^{[x]}$
Here, base {x} and [x] should not be zero.
Hence, $x \notin I and x \notin [0, 1)$
Thus, domain is $R - {I \cup (0, 1)}$ .

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