Question

Perform the indicated operation.
g(t) =t+2, f (t) = −3t^3– 1
Find: (g o f)(-4)

Answer 1

Hi there!

`\large\boxed{g(f(t))(-4) = 193}`

Find g(f(t))(-4) by substituting in f(t) for t into g(t):

g(f(t))(t) = (-3t³ - 1) + 2

Simplify:

g(f(t))(t) = -3t³ + 1

Substitute in -4 for t:

g(f(t))(-4) = -3(-4)³ + 1 = 193