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