If $f(x) = x^2 + 5x$ and $g(x) = x + 3$, evaluate each of the following expressions.

1. $f(−2)$

   Hint (a):

   $f(−2) = (−2)2 + 5(−2) =$

   Answer (a):

   $-16$

2. $g(−2)$

   Hint (b):

   $g(−2) = (−2) + 3 =$

3. $f(g(−2))$

   Hint (c):

   $f(g(−2)) = f(\text{part} (b))$.

4. $g(f(−2))$

   Hint (d):

   $g(f(−2)) = g(\text{part} (a))$.

5. $f(f(−2))$

   Hint (e):

   Refer to hint (d).

6. $g(g(−2))$

   Hint (f):

   Refer to hint (c).