Domain of definition of the function f ( x ) = 4 − x 2 3 + lo g 10 ( x 3 − x ) , is

f ( x ) = 4 − x 2 3 + lo g 10 ( x 3 − x ) 4 − x 2  = 0 ; x 3 − x > 0 ; x  = ± 4 ∴ D = ( − 1 , 0 ) ⋃ ( 1 , ∞ ) − { 4 } D = ( − 1 , 0 ) ⋃ ( 1 , 2 ) ⋃ ( 2 , ∞ )

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MathematicsFunctionsDomain-RangeEasy2 minPYQ_2003

MathematicsEasysingle choice

Domain of definition of the function $f (x) = \frac{3}{4 - x ^{2}} + lo g_{10} (x^{3} - x)$ , is

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$f (x) = \frac{3}{4 - x ^{2}} + lo g_{10} (x^{3} - x)$ $4 - x^{2} \neq = 0; x^{3} - x > 0; x \neq = \pm 4$ $∴ D = (- 1, 0) ⋃ (1, \infty) - {4}$ $D = (- 1, 0) ⋃ (1, 2) ⋃ (2, \infty)$

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Domain-Range

⏱ 2mℹ️ Source: PYQ_2003

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