$$\left. \begin{array} { l } { y = 3 x ^ { 2 } + 7 x + 1 } \\ { \text { ( b ) T h e e q u a l o n o f a d u r e i v e i \right.$$
$x=\frac{\sqrt{12y+37}-7}{6}$
$x=\frac{-\sqrt{12y+37}-7}{6}$
$x=\frac{\sqrt{12y+37}-7}{6}$
$x=\frac{-\sqrt{12y+37}-7}{6}\text{, }y\geq -\frac{37}{12}$