Consider the following functions. \[ \begin{array}{l} f=\{(-1,-2),(3,-1),(1,3)\} \\ \text { and } \\ g=\{(-1,-1),(3,0),(1,-3)\} \end{array} \] and Step 1 of $4:$ Find $(f+g)(1)$ Answer How to enter your answer (opens in new window) \[ (f+g)(1)= \]

Step 1 ：Consider the following functions: \[f=\{(-1,-2),(3,-1),(1,3)\}\] and \[g=\{(-1,-1),(3,0),(1,-3)\}\]

Step 2 ：To find the value of \((f+g)(1)\), we need to find the sum of the y-values of the points in f and g where x=1.

Step 3 ：In function f, when x=1, y=3. In function g, when x=1, y=-3.

Step 4 ：So, \((f+g)(1)\) = y-value of f at x=1 + y-value of g at x=1.

Step 5 ：\[f = \{(-1, -2), (1, 3), (3, -1)\}\]

Step 6 ：\[g = \{(1, -3), (-1, -1), (3, 0)\}\]

Step 7 ：y-value of f at x=1 is 3

Step 8 ：y-value of g at x=1 is -3

Step 9 ：\((f+g)(1)\) = 3 + (-3) = 0

Step 10 ：Final Answer: The value of \((f+g)(1)\) is \(\boxed{0}\)