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Let

f(x) = 4x + 1 if x <=3

f(x) = 18 - 4x if x > 3

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

 Mar 6, 2022
 #1
avatar+36433 
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Set each part = 0 and solve

 

 

4x+1 = 0

   4x = - 1

      x = - 1/4          which is <= 3      so it is a valid answer 

 

 

18 - 4x = 0

      - 4x = -18

          x = 18/4 = 4 1/2     which is >3     so it is a valid answer  too

 

 

Add 'em together.....

 Mar 6, 2022

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