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# HELP!

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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

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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

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Apr 19, 2021