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Let

f(x) = 8x + 3 if x <= 3

f(x) = 16 - 2x if x > 4

Find the sum of all values of x such that f(x)=0

 Feb 19, 2021
 #1
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We have two cases.

 

Case 1: x <= 3

8x + 3 = 0

x = -3/8

 

x is less than or equal to 3, so this solution is valid.

 

Case 2: x > 4

16 - 2x = 0

x = 8

 

x is greater than 4, so this solution is valid.

 

Add the solutions to get 61/8.

 Feb 19, 2021

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