Lesson 2.2: Function Operations Answers

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

A
–x² + x – 1
B
–x² + 5x – 1
C
X x² + 5x + 1
D
✔ x² – x + 1
3

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

A
X –x² + 3x – 2x + 1
B
(–x² + 3x) – (2x + 1)
C
✔ (2x + 1) – (–x² + 3x)
D
2x + 1 – x² + 3x
4

3f(x) = 3x✔ 3x²X x² + 3

A
3x
B
✔ 3x²
C
X x² + 3
6

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

A
y >= 0
B
✔ y >= -6
C
All real numbers
7

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

A
X x >= 0
B
x >= 6
C
✔ All real numbers
8

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

A
x >= 0
B
X x >= 6
C
✔ All real numbers
9

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

A
✔ x >= 0
B
x >= -6
C
All real numbers
10

What did you include in your answer?

A
Variables represent real numbers, so they should have their properties.
B
Commutative property applies for multiplication.
C
Commutative property does not apply for division.
13

Question text not available

A
Option
Option A
B
Option
Option B
C
Option
Option C
14

⇒ 9

Answer:

9

15

⇒ 0

Answer:

0

16

Profit function: P(x) = 67x + 1267x – 1253x + 12✔ 53x – 12

A
67x + 12
B
67x – 12
C
53x + 12
D
✔ 53x – 12
18

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

A
x2 + x – 4
B
x2 + x + 4
C
x2 – x + 6
D
x2 + x + 6
19

(f – g)(x) =

A
x2 + x – 4
B
x2 + x + 4
C
x2 – x + 6
D
x2 + x + 6

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