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

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R-I

R-0,1

R-I∪0,1

I∪0,1

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detailed solution

Correct option is C

fx=xx+xx Here, base {x} and [x] should not be zero.Hence, x∉I and x∉0,1.Thus, domain is R-0,1.

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The domain of definition of the function fx=xx+xx is (where {.} represents fractional part and [.] represents greatest integral function)

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