The domain of the function $$f(x)=1x12$$−$$x9+x4$$−$$x+1$$ is

Correct option is 4(−∞,∞)

Questions

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

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(−∞,−1)

(1,∞)

(−1,1)

(−∞,∞)

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detailed solution

Correct option is D

f (x) is defined forx12−x9+x4−x+1>0 ⇒x4x8+1−xx8+1+1>0⇒x8+1xx3−1+1>0 If x≥1 or x≤−1, then the above expression is positive. If −10 ∵x4+1>x8+1 and so x4+1>xx8+1The domain of f=(−∞,∞)

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The domain of the function f(x)=1x12−x9+x4−x+1 is

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