iran-konkur 2022 Q110

iran-konkur · Other · konkur-riazi_1401_specialized Composite & Inverse Functions Evaluate Composition from Algebraic Definitions
110. If $f(x) = \dfrac{\sqrt{3}x}{3x - \sqrt{x}}$, what is $fofof(\sqrt{2})$?
(1) $\dfrac{1}{\sqrt{2}}$ (2) $\sqrt{2}$ (3) $2$ (4) $\dfrac{1}{2}$
\textbf{110.} If $f(x) = \dfrac{\sqrt{3}x}{3x - \sqrt{x}}$, what is $fofof(\sqrt{2})$?

(1) $\dfrac{1}{\sqrt{2}}$ \qquad (2) $\sqrt{2}$ \qquad (3) $2$ \qquad (4) $\dfrac{1}{2}$