For the function $f$ whose graph is given above in the rectangular coordinate plane
$$\begin{aligned} & \int_{a}^{c} |f(x)|\, dx = 20 \\ & \int_{a}^{c} f(x)\, dx = 8 \end{aligned}$$
the equalities are satisfied.
What is the value of $$\int_{a/2}^{b/2} f(2x)\, dx$$ ?
A) $-3$ B) $-4$ C) $-5$ D) $-6$ E) $-7$

For a continuous function $f$ defined on the set of real numbers and the function $g(x) = 2x + 2$ defined as,
$$\begin{aligned} & \int_{-1}^{1} f(g(x))\, dx = 18 \\ & \int_{2}^{4} g(f(x))\, dx = 18 \end{aligned}$$
are satisfied. Accordingly, what is the value of the integral $\int_{0}^{2} f(x)\, dx$?
A) 20 B) 23 C) 26 D) 29 E) 32