Step 1 :Consider the following functions: \(f=\{(1,-3),(4,5)\}\) and \(g=\{(-4,-2),(-2,-4),(1,-3)\}\).
Step 2 :Find \((f-g)(1)\). The operation \((f-g)(1)\) means we need to find the value of \(f(1)\) and subtract the value of \(g(1)\) from it.
Step 3 :Looking at the pairs in \(f\) and \(g\), we can see that \(f(1) = -3\) and \(g(1) = -3\). So, \((f-g)(1) = f(1) - g(1) = -3 - (-3)\).
Step 4 :Calculate \((f-g)(1) = f(1) - g(1) = -3 - (-3)\) to get 0.
Step 5 :Final Answer: \((f-g)(1) = \boxed{0}\)