Answer
a) 95; b) 127; c) 17; d) 1.
Work Step by Step
We are given the functions:
$f(x)=3x+2$
$g(x)=2x^2-1$
a) $(f\circ g)(4)=f(g(4))=f(2(4^2)-1)=f(31)=3(31)+2=95$
b) $(g\circ f)(2)=g(f(2))=g(3(2)+2)=g(8)=2(8^2)-1=127$
c) $(f\circ f)(1)=f(f(1))=f(3(1)+2)=f(5)=3(5)+2=17$
d) $(g\circ g)(0)=g(g(0))=g(2(0^2)-1)=g(-1)=2((-1)^2)-1=1$
