G(x) = (3x − 1)/(2x + 9) g(g(x)) =?

[latex]g(x)=\frac{3x-1}{2x+9}\\\\g(g(x))=\frac{3*\frac{3x-1}{2x+9}-1}{2*\frac{3x-1}{2x+9}+9}=\frac{9x-3-2x-9}{6x-2+9(2x+9)}=\frac{7x-12}{24x+79}[/latex]