Question

F(t) = 2t-3g(t) = t^3 + tFind (f •g)(0)

Answer 1

1) Given those functions, f(t) and g(t) let's find the composite function, for (f(g(0)) or (f •g)(0)

2) Let's pick the function f(t)

f(t) = 2t-3

And plug into that g(t), like this

f(g(t))= 2(t³ +t) -3

3) Finally, let's plug the value 0 into that composite function:

f(g(t))= 2(t³ +t) -3

f(g(0))= 2(0³ +0) -3 ⇒f(g(0))= 2(0) +3

f(g(0))= 3

(f •g)(0)=3