Problem

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
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\[
(f+g)(1)=
\]

Answer

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Answer

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

Steps

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 \(\boxed{0}\)

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