[tex](g\circ f)(x)=g(f(x))\\\\
(g\circ f)(x)=g(x+1)\\\\
(g\circ f)(x)=(x+1)^2+2(x+1)-1\\\\
(g\circ f)(x)=(x^2+2x+1)+(2x+2)-1\\\\
\boxed{(g\circ f)(x)=x^2+4x+2} \\\\\\
(f\circ g)(x)=f(g(x))\\\\
(f\circ g)(x)=f(x^2+2x-1)\\\\
(f\circ g)(x)=(x^2+2x-1)+1\\\\
\boxed{(f\circ g)(x)=x^2+2x} \\\\\\[/tex]
