The graphs of $f\left(x\right) = 2x^{2} + 5x − 3$ and $g\left(x\right) = x^{2} + 4x + 3$ are shown below. Use the graphs to solve:

1. $f\left(x\right) = g\left(x\right)$

   Hint (a):

   Look at the graph. At which points do the two functions intersect?

   More Help (a):

   You can check you answer by setting the two equations equal to each other and solving for the possible values of $x$.

   

   Answer (a):

   $x = −3 \text{ or } x = 2$

2. $f\left(x\right) \gt g\left(x\right)$

   Hint (b):

   At what points, or sections, are the y-values for $f\left(x\right)$ greater than those for $g\left(x\right)$?