Suppose that $f(x) = -5 x^2 - 5 x + 4$ and $$g(x) = \left \lbrace \begin{array}{lcr} -4 x + 6 & & x < 1\\ -3 & & 1 \leq x < 7\\ x + 3 & & x \geq 7 \end{array} \right..$$ Find the following:

    (a) $(f\circ g)(1) =$
    (b) $(g\circ f)(-2) =$