Practicing Success
Practicing Success
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The domain of real valued function $f(x)=\sqrt{e^{\cos^{-1}(\log_4x^2)}}$ is |
$\left[\frac{1}{2},2\right]$ $\left[-2,-\frac{1}{2}\right]∪\left[\frac{1}{2},2\right]$ $\left[-2,-\frac{1}{2}\right]$ none of these |
$\left[-2,-\frac{1}{2}\right]∪\left[\frac{1}{2},2\right]$ |
For $D_f:|\log_4x^2|≤1$ $⇒-1≤\log_4x^2≤1⇒\frac{1}{4}≤x^2≤4⇒\frac{1}{2}≤x≤2$ or $-2≤x≤-\frac{1}{2}$ Hence $D_f=\left[-2,-\frac{1}{2}\right]∪\left[\frac{1}{2},2\right]$ |
