Domain of the function f(x)=34−x2+log10⁡x3−x, is

4−x2≠0⇒x≠±2 And, x3−x>0⇒x(x+1)(x−1)>0

Domain of the function f(x)=34−x2+log10⁡x3−x, is

4−x2≠0⇒x≠±2 And, x3−x>0⇒x(x+1)(x−1)>0

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

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(1, 2)

(−1, 0) ∪ (1, 2)

$(1, 2) \cup (2, \infty)$

$(- 1, 0) \cup (1, 2) \cup (2, \infty)$

answer is D.

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$\begin{array}{l} 4 - x^{2} \neq 0 \\ \Rightarrow x \neq \pm 2 \\ And, x^{3} - x > 0 \\ \Rightarrow x (x + 1) (x - 1) > 0 \end{array}$

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Domain of the function f(x)=34−x2+log10⁡x3−x, is

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