Answer:
f(g(t)) = 2t² + 1
Step-by-step explanation:
You can solve this simply by substituting g(t) into f(t), and solving for f(g(t)):
[tex]f(t) = 2t + 5\\\\g(t) = t^2 - 2\\\\f(g(t)) = 2(g(t)) + 5\\\\f(g(t)) = 2(t^2 - 2) + 5\\\\f(g(t)) = 2t^2 - 4 + 5\\\\f(g(t)) = 2t^2 + 1[/tex]
