Functions, Relations & Transformations · Challenge problem

A function $f$ has domain $[0, 4]$, satisfies $f(x) \ge 0$, and the region between its graph and the $x$-axis has area $10$. Let $g(x) = 3f(2x - 2) + 1$. Find the area of the region between the graph of $g$ and the $x$-axis, over the whole domain of $g$.