Question

Find the composite function (please help)

Answer 1

(f o h)(x) = -10x + 32

General Formulas and Concepts:

Pre-Algebra

• Equality Properties

Algebra I

• Composite Functions

Explanation:

Step 1: Define

f(x) = 2x³ + 8

h(x) = ∛(12 - 5x)

(f o h)(x) is f(h(x))

Step 2: Find Composite Function

1. Substitute: (f o h)(x) = 2(∛(12 - 5x))³ + 8
2. Evaluate: (f o h)(x) = 2(12 - 5x) + 8
3. Distribute 2: (f o h)(x) = 24 - 10x + 8
4. Combine like terms: (f o h)(x) = -10x + 32

And we have our final answer!