The function $f(x)$ satisfies \[f(x) - 2 f \left( \frac{1}{x} \right) = 4^x\]for all $x \neq 0.$ Find $f(2).$
Hint
\(f(2)-2f(\frac{1}{2})=4^2\\ and\\ f(\frac{1}{2})-2f(2)=4^{0.5}\)
solve these simultaneously to find f(2)
Please let asker guest finish this.
Thanks! Is the answer $-\frac{20}{3}$? Because that is what I got...
Yes, I got that as well.
