In the rectangular coordinate plane, the graphs of functions $\mathrm{f}(\mathrm{x})$ and $\mathrm{g}(\mathrm{x})$ defined on the interval $[0,3]$ are given in the figure.
For a number $\mathrm{a} \in (0,1)$,
$$\begin{aligned} & \mathrm{b} = (f \circ g)(a) \\ & c = (g \circ f)(a) \end{aligned}$$
are determined.
Accordingly, which of the following is the correct ordering of the numbers a, b, and c?
A) a $<$ b $<$ c
B) a $<$ c $<$ b
C) b $<$ a $<$ c
D) b $<$ c $<$ a
E) c $<$ a $<$ b

Let $a$, $b$, and $c$ be real numbers. In the rectangular coordinate plane, the graphs of the functions $f(x) + a$, $b \cdot f(x)$, and $f(c \cdot x)$ are given in the figure.
What are the signs of the numbers $a$, $b$, and $c$ respectively?
A) $-, +, -$
B) $+, -, +$
C) $-, +, -$
D) $-, -, +$
E) $-, -, -$

In the rectangular coordinate plane, the graphs of the functions $f + g$ and $f - g$ are given in the figure.
Given this, what is b?
A) 3 B) 4 C) 5 D) 6 E) 7