AnswersFL-1200330-Algebra 2 Sem 1 - FlexComposition of Functions

Composition of Functions Answers

0 verified answers3 views
1
Free Preview

If f(x) = x2 + 1 and g(x) = x – 4, which value is equivalent to ?

Question illustration
A
37
B
97
C
126
D
606
2
Free Preview

If h(x) = x – 7 and g(x) = x2, which expression is equivalent to ?

Question illustration
A
(5 – 7)2
B
(5)2 – 7
C
(5)2(5 – 7)
D
(5 – 7)x2
3

If h(x) = 6 – x, what is the value of ?

Question illustration
A
–4
B
–2
C
10
D
16
4

The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. Which of the following describes the domain of ?

Question illustration
A
all real values except and the x for which
Option A
B
all real values except and the x for which
Option B
C
all real values except and the x for which
Option C
D
all real values except and the x for which
Option D
5

If and , what is the range of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to ?

Question illustration
A
4(x – 7)2 – x – 7 + 3
B
4(x – 7)2 – (x – 7) + 3
C
(4x2 – x + 3) – 7
D
(4x2 – x + 3)(x – 7)
7

For which pair of functions is ?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
8

If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to ?

Question illustration
A
(3x + 2)(x 2 + 1)
B
3x 2 + 1 + 2
C
(3x + 2)2 + 1
D
3(x 2 + 1) + 2
9

If and h(x) = 4 – x, what is the value of ?

Question illustration
A
mc025-3.jpg
Option A
B
mc025-4.jpg
Option B
C
mc025-5.jpg
Option C
D
mc025-6.jpg
Option D
10

Which description best explains the domain of ?

Question illustration
A
the elements in the domain of f(x) for which g(f(x)) is defined
B
the elements in the domain of f(x) for which g(f(x)) is not zero
C
the elements in the domain of g(x) for which g(f(x)) is defined
D
the elements in the domain of g(x) for which g(f(x)) is not zero
11

If and n(x) = x – 3, which function has the same domain as ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
12

If and g(x) = 5x – 4, what is the domain of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

If h(x) = 5 + x and , which expression is equivalent to ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
5 + (5 + x)
14

If p(x) = 2x2 – 4x and q(x) = x – 3, what is ?

Question illustration
A
2x2 – 4x + 12
B
2x2 – 16x + 18
C
2x2 – 16x + 30
D
2x2 – 16x + 15
15

Fifteen percent of an employee’s taxable income is collected each paycheck. Before taxes are removed from each paycheck, $350 of tax-exempt expenses is taken out. If the variable x represents the employee’s pay before tax-exempt expenses and taxes are removed, which expression represents the employee’s take-home pay after these deductions?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

Did you find these answers helpful?

More from this Course

Quiz
15 verified answers

Composition of Functions

Quiz
19 verified answers

Function Inverses

Quiz
14 verified answers

Symmetry