Let $f:A\longrightarrow B$ and $g:C\longrightarrow D$. For each of the following functions, state whether or not you can compute $f \circ g$ (using the only constraint that is given). (You must enter T or F -- True and False will not work.)

 1. $C \subseteq A$
 2. B=C
 3. A=D
 4. A=R, B= R, C=R, D=R
 5. A=C
Let $f:R\longrightarrow R, f(x)=x+6$ and $g:R\longrightarrow R, g(x) = (x-2)^2$. Compute the following expressions.

 1. $f \circ g (13)$
 2. $f \circ g (3)$
 3. $g \circ f (3)$
 4. $g \circ f (13)$