Questions: Consider the following functions. f=(-4,-1),(-3,-1),(-2,-3),(3,0) and g=(5,3),(4,-1),(-2,-4),(-4,-5) Step 1 of 4: Find (f+g)(-2).

Consider the following functions. f=(-4,-1),(-3,-1),(-2,-3),(3,0) and g=(5,3),(4,-1),(-2,-4),(-4,-5) Step 1 of 4: Find (f+g)(-2).
Transcript text: Consider the following functions. \[ \begin{array}{c} f=\{(-4,-1),(-3,-1),(-2,-3),(3,0)\} \\ \text { and } \\ g=\{(5,3),(4,-1),(-2,-4),(-4,-5)\} \end{array} \] Step 1 of $4:$ Find $(f+g)(-2)$.
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Solution

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Solution Steps

Step 1: Find the outputs of functions f and g for the given input x.

Given \(x = -2\), we find \(y_f = f(x) = -3\) and \(y_g = g(x) = -4\).

Step 2: Add the outputs obtained from the two functions.

The result of the addition \(f(x) + g(x)\) is \(y_f + y_g = -7\).

Final Answer: \((f + g)(-2) = -7\)

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