Question

[Function Composition] could someone help me with this answers or show work either is fine

Answer 1

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)):

$f(t) = 2t + 5\\\\g(t) = t^2 - 2\\\\f(g(t)) = 2(g(t)) + 5\\\\f(g(t)) = 2(t^2 - 2) + 5\\\\f(g(t)) = 2t^2 - 4 + 5\\\\f(g(t)) = 2t^2 + 1$