As there is an adition of functions you have:
[tex]g(t)+f(t)=(-3t^3-4t)+(4t-4)[/tex]You remove the parentheses:
[tex]=-3t^3-4t+4t-4[/tex]Make adds and substracts: You can just add or substract similar terms (ex. t^2+2t^2=3t^2)
[tex]=-3t^3-4[/tex]Then:[tex]g(t)+f(t)=-3t^3-4[/tex]