Answer
a) 4418; b) -191; c) 8; d) -2.
Work Step by Step
We are given the functions:
$f(x)=2x^2$
$g(x)=1-3x^2$
a) $(f\circ g)(4)=f(g(4))=f\left(1-3(4^2)\right)=f(-47)=2(--47)^2=4418$
b) $(g\circ f)(2)=g(f(2))=g(2(2^2))=g(8)=1-3(8^2)=-191$
c) $(f\circ f)(1)=f(f(1))=f(2(1^2))=f(2)=2(2^2)=8$
d) $(g\circ g)(0)=g(g(0))=g(1-3(0^2))=g(1)=1-3(1^2)=-2$
