Symmetry Answers

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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
2
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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 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)
4

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
5

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
6

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
mc028-1.jpg
Option A
B
mc028-2.jpg
Option B
C
mc028-3.jpg
Option C
D
mc028-4.jpg
Option D
7

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

Question illustration
A
mc003-3.jpg
Option A
B
mc003-4.jpg
Option B
C
mc003-5.jpg
Option C
D
5 + (5 + x)
8

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

Question illustration
A
–4
B
–2
C
10
D
16
9

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

Question illustration
A
mc019-3.jpg
Option A
B
mc019-4.jpg
Option B
C
mc019-5.jpg
Option C
D
mc019-6.jpg
Option D
10

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

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