Let \[f(x) = \left\{ \begin{array}{cl} 2x + 1 & \text{if } x \le 3, \\ 8 - 4x & \text{if } x > 3. \end{array} \right.\]Find the sum of all values of $x$ such that $f(x) = 0.$
\(Let \[f(x) = \left\{ \begin{array}{cl} 2x + 1 & \text{if } x \le 3, \\ 8 - 4x & \text{if } x > 3. \end{array} \right.\]Find the sum of all values of $x$ such that $f(x) = 0.$\)
2x + 1 = 0
2x = -1
x = - 1/2 and this is in the domain of x ≤ 3
8 - 4x = 0
8 = 4x
2 = x this is not in the domain of x > 3
So......the sum is just -1/2