\[
f=\{(-1,1),(1,-2),(3,-4)\}
\]
and
\[
g=\{(5,0),(-3,4),(1,1),(-4,1)\}
\]
\[
(f-g)(1)=
\]
Final Answer: \(\boxed{-3}\)
Step 1 :Given functions f and g as follows:
Step 2 :\[f=\{(-1,1),(1,-2),(3,-4)\}\]
Step 3 :\[g=\{(5,0),(-3,4),(1,1),(-4,1)\}\]
Step 4 :The operation \((f-g)(x)\) is defined as \(f(x) - g(x)\). So, to find \((f-g)(1)\), we need to find the values of \(f(1)\) and \(g(1)\) and then subtract \(g(1)\) from \(f(1)\).
Step 5 :From the given, \(f(1) = -2\) and \(g(1) = 1\).
Step 6 :Subtracting \(g(1)\) from \(f(1)\), we get \(-2 - 1 = -3\).
Step 7 :So, \((f-g)(1) = -3\).
Step 8 :Final Answer: \(\boxed{-3}\)