CUET Preparation Today
The domain of the function $f(x)=\sqrt{3-2^x-2^{1-x}}+\sqrt{\sin^{-1}x}$ is |
[0, 1] [0, 1) (0, 1] none of these |
[0, 1] |
$\sin^{-1}x≥0⇒0≤x≤1⇒3-y-\frac{2}{y}≥0,\,2^x>0$ and $y2-3y+2≤0$ or $(y-1)(y-2)≤0$ $∴1≤x^2≤2$ or $2^0≤y≤2^1$ or $2^0≤2^x≤2^1⇒0≤x≤1$ $∴x∈[0, 1]$ |
