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Let \(f(x) = \begin{cases} 9x+16 &\text{if }x<2, \\ 2x-14&\text{if }x\ge2. \end{cases} \)If \(f(x)=-2\), find the sum of all possible values of x.

 Apr 19, 2021
 #1
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9x + 16  = -2

9x = -18

x = -2         This one will not work because it is the piece of the function for x < 2      this answer is EQUAL to -2

 

2x - 14 = -2

2x = 12

x = 6            this is it

 

 

6

 Apr 19, 2021

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