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2 years ago

Evaluate f(x+3) when f(x)=-x^2-2x+2

Mathematics

1 answer:

ziro4ka [17]2 years ago

3 0

Answer:

f(x + 3) = -x² - 8x - 13

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation
Expanding
Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

f(x) = -x² - 2x + 2

f(x + 3) is x = x + 3

Step 2: Find

Substitute in x: f(x + 3) = -(x + 3)² - 2(x + 3) + 2
Expand: f(x + 3) = -(x² + 6x + 9) - 2x - 6 + 2
Distribute -1: f(x + 3) = -x² - 6x - 9 - 2x - 6 + 2
Combine like terms: f(x + 3) = -x² - 8x - 13

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