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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

 Aug 14, 2023
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2x + 1 = 0                                               8 - 4x = 0

2x = -1                                                    8 = 4x

x = -1/2    OK because x   ≤ 3                x = 8/4  = 2    not OK because x must  be > 3

 

Sum =  -1/2

 

 

cool cool cool

 Aug 14, 2023
edited by CPhill  Aug 14, 2023

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