Lesson 1.2: Function Operations Answers

(p + q)(2) =

r(x) = –x² + 3x s(x) = 2x + 1(s – r)(x) = –x² + 3x – 2x + 1X (–x² + 3x) – (2x + 1)✔ (2x + 1) – (–x² + 3x)2x + 1 – x² + 3x

(s – r)(x) = –x² + x – 1X –x² + 5x – 1x² + 5x + 1✔ x² – x + 1

What is f(x) + f(x) + f(x)? (f(x))³f(x) + 3✔ 3f(x)

3f(x) = 3x✔ 3x²x² + 3

If the opposite of g(x) is –g(x), then –g(x) = –x – 6✔ –x + 6x + 6

g(x) + (–g(x)) = 2g(x)–2g(x)✔ 0

Evaluate 3f(2) = ⇒ 12.

Domain of g: x >= 0x >= 6✔ All real numbers

Domain of g + k: ✔ x >= 0x >= -6All real numbers

Range of g: x >= 0x >= 6✔ All real numbers

Range of g + k: y >= 0✔ y >= -6X All real numbers

Think about the commutative property of real-number operations as it applies to addition and subtraction of functions. How do you think this property might extend to multiplication and division of functions?

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Profit function: P(x) = 67x + 12X 67x – 1253x + 12✔ 53x – 12

What is the profit earned from selling 20 video games? ✔ $1048$1072$1352$1328

f(x) = x2 + 1 g(x) = 5 – x(f + g)(x) =