Composition of Functions

Question 1

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

Revolt · Accepted Answer

3(x 2 + 1) + 2

Question 2

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

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/evresources/3111-02-03/mc003-5.jpg

Question 3

Which description best explains the domain of ?

Revolt · Accepted Answer

the elements in the domain of f(x) for which g(f(x)) is defined

Question 4

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

Revolt · Accepted Answer

37

Question 5

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

Revolt · Accepted Answer

4(x – 7)2 – (x – 7) + 3

Question 6

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

Revolt · Accepted Answer

mc019-5.jpg

Question 7

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

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/evresources/3111-02-03/mc025-3.jpg

Question 8

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

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/evresources/3111-02-03/mc018-5.jpg

Question 9

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?

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/evresources/3111-02-03/mc028-3.jpg

Question 10

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 ?

Revolt · Accepted Answer

all real values except and the x for which

Composition of Functions Answers

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