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 $x$.
\(\[f(x) = \begin{cases} 9x+16 &\text{if }x<2, \\ 2x-14&\text{if }x\ge2. \end{cases} \]If $f(x)=-2$, find the sum of all possible values of $x$.\)
9x+ 16 = -2 2x - 14 = -2
9x = -18 2x = 12
x = -2 x = 6
So ......... -2 + 6 = 4