Answer
(a) $4418$
(b) $-191$
(c) $8$
(d) $-2$
Work Step by Step
(a) $(f\circ g)(4)= f(g(4))=f(1-3\times4^{2})=f(-47)=2\times(-47)^{2}=4418$
(b) $(g\circ f)(2)=g(f(2))=g(2\times2^{2})=g(8)=1-3\times8^{2}=-191$
(c) $(f\circ f)(1)=f(f(1))=f(2\times1^{2})=f(2)=2\times2^{2}=8$
(d) $(g\circ g)(0)=g(g(0))=g(1-3\times0^{2})$$=g(1)=1-3\times1^{2}=-2$