3. Let $f(x)$ be an increasing continuous function defined on the interval $[0 ; 3]$, and $g(x)$ be its inverse function, such that $g(x) > f(x)$ for all positive $x$ for which both functions are defined. Additionally, $f(0)=0, f(3)=2$.

The area under the graph of $f(x)$ on the interval $[0 ; 3]$ is 2. Find the area of the figure bounded by the graphs of $f(x)$ and $g(x)$, as well as the segment connecting the points $(3 ; 2)$ and $(2 ; 3)$.
Answer: $4.5 \mid 9 / 2$

#