Domain of definition of the function $f(x)=\frac{3}{4-x^2}+\log_{10}(x^3-x)$ is:
Answer & explanation
Correct answer: option 4
$4-x^2≠0⇒x^2≠4⇒x≠±2$
so $x^3-x>0⇒(x)(x-1)(x+1)>0$
Using wavy curve method
$x∈(-1, 0) ∪ (1, ∞)$
$⇒x∈(-1, 0) ∪ (1, 2) ∪ (2, ∞)$