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Let \[f(x) = \left\{ \begin{array}{cl} 2x + 1 & \text{if } x \le 3, \\ 8 - 4x & \text{if } x > 3. \end{array} \right.\]Find the sum of all values of $x$ such that $f(x) = 0.$

Guest Sep 1, 2017
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\(Let \[f(x) = \left\{ \begin{array}{cl} 2x + 1 & \text{if } x \le 3, \\ 8 - 4x & \text{if } x > 3. \end{array} \right.\]Find the sum of all values of $x$ such that $f(x) = 0.$\)

 

2x + 1  = 0                      

2x  = -1                           

x = - 1/2     and this is in the domain  of x ≤ 3

 

8 - 4x = 0

8 = 4x

2 = x       this is not in the domain of x > 3

 

So......the sum is just -1/2

 

 

cool cool cool                    

CPhill  Sep 1, 2017

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