Did I solve these problems correctly?

1. f(x)=-3x + 2
g(x)=3x^2 -x + 2 Find (f + g)(x)
-3x+2+(3x^2-x+2)
=3x^2-3x-x+4
=3x^2-4x-4

2. f(x)=x -1
g(x)=2x^2 -2x -5
Find g(f(x) )
2x^2 -2x -5(x-1)
=2x^2 -2x -5x+5
=2x^2 -7x+5

3. f(x)=3x + 2
g(x)= -2x2 -3x + 5
Find g(f(x) )
-2x^2-3x+5(3x+2)
= -2x^2-3x+15x+10
=12x-2x^2+10

#2

g(x-1)
= 2(x-1)^2 - 2(x-1) - 5
= 2x^2 - 4x + 2 - 2x + 2 - 5
= 2x^2 - 6x - 3

#3
g(3x+2)
= -2(3x+2)^2 - 3(3x+2) + 5
= -18x^2 -24x -8 - 9x - 6 + 5
= -18x^2 - 33x - 1