3 years ago

Find the composite function (please help)

Mathematics

1 answer:

anastassius [24]3 years ago

8 0

Answer:

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

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Composite Functions

Step-by-step 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

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

And we have our final answer!

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