Problem

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 $(f-g)(1)$.

Solution

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

From Solvely APP
Source: https://solvelyapp.com/problems/BQOZeQhNf5/

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