Question

Perform the indicated operation ​

Answer 1

(g o h)(t) = -4t² - 16t + 3

General Formulas and Concepts:

Pre-Algebra

• Equality Properties

Algebra I

• Composition of functions

Explanation:

Step 1: Define

g(t) = -4t + 3

h(t) = -t² + 4t

(g o h)(t) = g(h(t))

Step 2: Find

1. Substitute: (g o h)(t) = -4(t² + 4t) + 3
2. Distribute -4: (g o h)(t) = -4t² - 16t + 3

And we have our final answer!