Question 69
Suppose function $f(x)$ satisfies: for any non-zero real number $x$, there is
$$
f(x) = f(1) \cdot x + \frac{f(2)}{x} - 1.
$$
Then the minimum of $f(x)$ on $(0, +\infty)$ is ______.
$$
f(x) = f(1) \cdot x + \frac{f(2)}{x} - 1.
$$
Then the minimum of $f(x)$ on $(0, +\infty)$ is ______.