Question 92
The function $g : [0, \infty) \to [0, \infty)$ satisfies the functional equation:
$$
g(g(x)) = \frac{3x}{x+3}, \text{ for all } x \ge 0.
$$
You are also told that $g(x) = \frac{x+1}{2}$ for $2 \le x \le 3$.
a. Find $g(2021)$.
b. Find $g(1/2021)$.
$$
g(g(x)) = \frac{3x}{x+3}, \text{ for all } x \ge 0.
$$
You are also told that $g(x) = \frac{x+1}{2}$ for $2 \le x \le 3$.
a. Find $g(2021)$.
b. Find $g(1/2021)$.