If f(x) = sqrt {{x^2} + x} + frac | vedclass

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Question

$A \cdot M \geq G \cdot M$

$\frac{\sqrt{x^{2}+x}+\frac{\operatorname{tgn}^{2} \alpha}{\sqrt{x^{2}+x}}}{2} \geq\left(\sqrt{x^{2}+x} \cdot \frac{\log

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$2 	an \alpha$

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$A \cdot M \geq G \cdot M$

$\frac{\sqrt{x^{2}+x}+\frac{\operatorname{tgn}^{2} \alpha}{\sqrt{x^{2}+x}}}{2} \geq\left(\sqrt{x^{2}+x} \cdot \frac{\log 22}{\sqrt{2+x}}\right)^{1 / 2}$

$\sqrt{x^{2}+x}+\frac{\log ^{2} \alpha}{\sqrt{x^{2}+x}} \geq 2 \log x$

If $f(x) = \sqrt {{x^2} + x} + \frac{{{{\tan }^2}\alpha }}{{\sqrt {{x^2} + x} }},\alpha \in (0,\pi /2),x > 0$ then value of $f(x)$ is greater than or equal to-

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