Question Solve $\sqrt[3]{a+\frac{a+1}{3}\cdot \sqrt{\frac{8a-1}{3}}}+\sqrt[3]{a-\frac{a+1}{3}\cdot \sqrt{\frac{8a-1}{3}}}$ Solution: From the question, we regulate \begin{align*} \frac{8a-1}{3}&\geq 0\\ a&\geq \frac{1}{8} \end{align*} Let $\xi… Question Given \[f\left ( x \right )-\frac{1}{3}f\left ( \frac{x}{3} \right )=x,$ find $$f\left ( x \right )$$. Alternative solution: We derive the following equations, $f\left ( x \right )-\frac{1}{3}f\left ( \frac{x}{3} \right )=x$ \[\frac{1}{3^{1}}f\left…