Suppose $f(x) = 3x + 4$ and $g(x) = x^2 + x\text{.}$ Compute each of the following compositions. Remember to work inside the parentheses first.

1. $f(g(5))\text{.}$ We can first work inside the parentheses to find the value of $g(5)\text{,}$ and then use that value as the input for $f\text{.}$
   $$\begin{aligned} f(g(5)) \amp= f\mathopen{}\left(5^2 + 5\right)\mathclose{}\\ \amp= f(30)\\ \amp= 3\cdot30 + 4\\ \amp= 94 \end{aligned}$$
2. $g(f(5))\text{.}$ We can first work inside the parentheses to find the value of $f(5)\text{,}$ and then use that value as the input for $g\text{.}$
   $$\begin{aligned} g(f(5)) \amp= g(3\cdot5 + 4)\\ \amp= g(19)\\ \amp= 19^2 + 19\\ \amp= 380 \end{aligned}$$

So we found:

1. $f(g(5))=$
2. $g(f(5))=$