Question 3 of 9 , Step 2 of 4
Correct

Consider the following functions.
\[
\begin{array}{l}
f=\{(0,-2),(2,1),(1,-1)\} \\
\text { and } \\
g=\{(2,-4),(3,-3),(1,4)\}
\end{array}
\]

Step 2 of 4 : Find $(f-g)(1)$.

Answer

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Answer

So, $(f-g)(1) = \boxed{-5}$.

Steps

Step 1 ：Consider the following functions: \[f=\{(0,-2),(2,1),(1,-1)\}\] and \[g=\{(2,-4),(3,-3),(1,4)\}\]

Step 2 ：Find the operation $(f-g)(x)$ which is defined as $f(x) - g(x)$.

Step 3 ：To find $(f-g)(1)$, we need to find the values of $f(1)$ and $g(1)$ from the given sets and subtract $g(1)$ from $f(1)$.

Step 4 ：From the given sets, we find that $f(1) = -1$ and $g(1) = 4$.

Step 5 ：Subtracting $g(1)$ from $f(1)$, we get $-1 - 4 = -5$.

Step 6 ：So, $(f-g)(1) = \boxed{-5}$.