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il63 [147K]
2 years ago
14

Find the composite function (please help)

Mathematics
1 answer:
anastassius [24]2 years ago
8 0

Answer:

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

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

  • Composite Functions

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 2x³ + 8

h(x) = ∛(12 - 5x)

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

<u>Step 2: Find Composite Function</u>

  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!

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