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