Given That $f ( x ) = \left\{ \begin{array} { c } 4 x ^ { 2 } + 2 \text { if } x < 0 \\3 x + a \text { if } x \geq 0\end{array} \right.$

Short Answer

Given that $f ( x ) = \left\{ \begin{array} { c } 4 x ^ { 2 } + 2 \text { if } x < 0 \\3 x + a \text { if } x \geq 0\end{array} \right.$ , find a real number $a$ a that makes $f$ continuous at $x = 0 .$