[tex]\left \{ {{f(x)=-3x+2} \atop {g(x)=x+1}} \right.[/tex]
To find g(f(x)), Substitute f(x) in g(x).
[tex]g(-3x+2)[/tex]
Then substitute x = -3x+2 in g(x) = x+1
[tex]g(-3x+2)=(-3x+2)+1\\g(-3x+2)=-3x+2+1\\g(-3x+2)=-3x+3[/tex]
Therefore, the answer is [tex]g(f(x))=-3x+3[/tex]