Composition of Functions

Question 1

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 2

If and , what is the range of ?

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/evresources/3111-02-03/mc021-6.jpg

Question 3

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 4

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 5

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 6

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

Revolt · Accepted Answer

mc019-5.jpg

Question 7

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

Revolt · Accepted Answer

10

Question 8

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 9

For which pair of functions is ?

Revolt · Accepted Answer

and

Question 10

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

Revolt · Accepted Answer

2x2 – 16x + 30

Composition of Functions Answers

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