The figure shows a function $f : X \rightarrow X$. What is the value of $f ( 2 ) + f ^ { - 1 } ( 2 )$? [3 points]
(1) 3
(2) 4
(3) 5
(4) 6
(5) 7

The figure shows two functions $f : X \rightarrow Y , g : Y \rightarrow Z$. Find the value of $( g \circ f ) ( 2 )$. [3 points]
(1) 1
(2) 2
(3) 3
(4) 4
(5) 5

The figure shows a function $f : X \rightarrow X$. [Figure] What is the value of $f ( 4 ) + ( f \circ f ) ( 2 )$? [3 points]
(1) 3
(2) 4
(3) 5
(4) 6
(5) 7

The figure shows two functions $f : X \rightarrow X , g : X \rightarrow X$. What is the value of $( g \circ f ) ( 1 )$? [3 points]
(1) 1
(2) 3
(3) 5
(4) 7
(5) 9

107. If $f = \{(1,2),(2,5),(3,4),(4,6)\}$ and $g = \{(2,3),(4,2),(5,6),(3,1)\}$, then $\dfrac{g}{\text{g} \circ f^{-1}}$ equals which of the following?
(1) $\{(4,2),(5,2)\}$ (2) $\{(4,3),(3,5)\}$ (3) $\{(5,2),(2,4)\}$ (4) $\{(3,5),(2,4)\}$

Let $S = \{ 1,2,3,4,5,6,7,8,9,10 \}$. Define $f : S \rightarrow S$ as $f ( n ) = \left\{ \begin{array} { c l } 2 n , & \text { if } n = 1,2,3,4,5 \\ 2 n - 11 & \text { if } n = 6,7,8,9,10 \end{array} \right.$ Let $g : S \rightarrow S$ be a function such that $f \circ g ( n ) = \left\{ \begin{array} { l l } n + 1 & , \text { if } n \text { is odd } \\ n - 1 & , \text { if } n \text { is even } \end{array} \right.$, then $g ( 10 ) ( g ( 1 ) + g ( 2 ) + g ( 3 ) + g ( 4 ) + g ( 5 ) )$ is equal to