(2A)
Find f(2x + 4) for f(x) = 1 - x2
1 answer:
Answer:
f(2x + 4) = -4x² - 16x - 15
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Distributive Property
<u>Algebra I</u>
Terms/Coefficients Expanding (FOIL) Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 1 - x²
<u>Step 2: Evaluate</u>
Substitute in <em>x</em> [Function f(x)]: f(2x + 4) = 1 - (2x + 4)² Expand [FOIL]: f(2x + 4) = 1 - (4x² + 16x + 16) (Parenthesis) Distribute negative: f(2x + 4) = 1 - 4x² - 16x - 16 Combine like terms: f(2x + 4) = -4x² -16x - 15
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