Question

f(t) = t - 4 g(t) = -2t-3 Find (fog)(t) Find (gof)(t)

Answer 1

$\begin{gathered} f(t)=t-4 \\ g(t)=-2t-3 \\ \\ (f\circ g)(t)=f(g(t)) \\ =g(t)-4 \\ =-2t-3-4 \\ (f\circ g)(t)=-2t-7 \\ \\ \\ (g\circ f)(t)=g(f(t)) \\ =g(t-4) \\ =-2(t-4)-3 \\ =-2t+8-3 \\ (g\circ f)(t)=-2t+5 \end{gathered}$