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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

 Aug 13, 2021
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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

 

Hello Guest!

 

\(f(x) = 8x + 3=0\\ \color{blue}x_1=-\frac{3}{8}\\ f(x) = 16 - 2x=0\\ \color{blue}x_2=8\)

 

\({\color{blue}The\ sum\ of\ all\ values}\ of\ x\ such\ that\ f(x)\ =\ 0\ is\\ x_1+x_2=-\frac{3}{8}+8\color{blue}=7\frac{5}{8}\)

laugh  !

 Aug 13, 2021

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