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The exhaustive domain of the following function is $f (x) = \sqrt{x^{12} - x^{9} + x^{4} - x + 1}$

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1,∞

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detailed solution

Correct option is D

fx=x12-x9+x4-x+1We must have x12-x9+x4-x+1≥0 (1)Obviously, (1) is satisfied by x∈-∞,0.Also, x9x3-1+xx3-1+1≥0∀x∈1,∞.Further, x12-x9+x4-x+1=1-x+x41-x5+x12 is alsosatisfied by x∈0,1.Hence, the domain isR.

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The exhaustive domain of the following function is fx=x12-x9+x4-x+1

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The exhaustive domain of the following function is $f (x) = \sqrt{x^{12} - x^{9} + x^{4} - x + 1}$