​Let $f(x)=x^2+x$ and $g(x)=x+1$. 

1. Write an expression for $g\left(f(x)\right)$.

   Hint (a):

   Substitute $(x^2+x)$ for every $x$ in the $g$ function.

2. Write an expression for $f(g(x))$.

   Hint (b):

   Substitute $(x+1)$ for every $x$ in the $f$ function.

3. For what value(s) of $x$ will $f(g(x))=2$?

   Step (c):

   $x^2+3x+2=2$

   Now set the equation equal to $0$ and solve.