\(f(x)-6 f\left(\frac{1}{x}\right)=\frac{35}{3 x}-\frac{5}{2} . \lim _{\text {If }}\left(\frac{1}{\alpha x}+f(x)\right)=…

\(f(x)-6 f\left(\frac{1}{x}\right)=\frac{35}{3 x}-\frac{5}{2} . \lim _{\text {If }}\left(\frac{1}{\alpha x}+f(x)\right)=\beta . \quad \text { find }(\alpha+2 \beta)\). (24 Jan, Shift I, Memory based)