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.
We have that
9x + 16 = -2 or 2x - 14 = -2
9x = -18 2x = 12
x = -2 x = 6
So....the sum of the possible values of x= 6 - 2 = 4