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Understanding Function Operations Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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Question 1 1. Which of the following is the inverse function of f(x) = 2x - 3?

Question 2 2. Use the information given to find h(x) / l(x): h(x) = 6x2 and l(x) = 2x5

Question 3 3.

Find the domain of the inverse function of:

f(x) = 1/(x-3)

Question 4 4.

What is the composite of the function below and its inverse?

f(x) = (x-2)/3

f^(-1)(x) = 3x + 2

Note: f^(-1)(x) indicates the inverse of the function f.

Question 5 5. Find the domain of f(x)/g(x), if:

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Question 6 6. Which of the following statements is true?

Question 7 7.

Find the domain of f(g(x)), if:

f(x) = 1/x

g(x) = 1/(x+4)

Question 8 8.

Find the domain of f(f(x)) if

f(x) = (x+1)/x

Question 9 9. Evaluate f(f(x)). [Yes, it says f(f(x)]

Question 10 10. Which of the following is a one-to-one function?

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Question 11 11. What is the inverse function of f(x) = 3(x - 2)3?

Question 12 12.

Solve for x and y.

x - 3y = -1

2x - 2y = 2

Question 13 13. If f(g(x)) = x^6 and g(x) = x^3, what is f(x)?

Question 14 14. What is the domain of the function f(x) = x?

Question 15 15. Which of the following is the inverse function of f(x) = 3x?

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Question 16 16. What notation do you use to show that you have an inverse function?

Question 17 17. If f(x) = x and g(x) = 1 / x, what is the domain of f(g(x))?

Question 18 18. How do you determine whether a function is an inverse of another function?

Question 19 19.

Solve for x and y.

x + y = 5

x - y = -1

Question 20 20. Using the graph, find f(f(-2)).

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Question 21 21. Which of the following describes the 'composite' of two functions?

Question 22 22.

Use f(x) and g(x) to find f(x) + g(x).

f(x) = -x + 5 and g(x) = 3x + 2

Question 23 23. All of the following are one-to-one functions, EXCEPT:

Question 24 24. What is the inverse function of f(x) = x/8 + x + 2?

Question 25 25. The revenue of a company is represented by R(x) and their costs are represented by C(x). What is the profit function R(x) - C(x)?

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Question 26 26. While reading your textbook, you find a function that has two inputs that produce the same answer. Based on this information, you know that this function is _____.

Question 27 27. For a function f(x), what is f-1 (3*f(x))?

Question 28 28. What is the range of f(g(x)) if f(x) = |x| and g(x) = cos(x)?

Question 29 29.

Use f(x) and g(x) to find g(x) - f(x).

Here, f(x) = -x + 5 and g(x) = 3x + 2.

Question 30 30.

Manipulate the following equation to isolate the y variable.

x - 3y = 12

Understanding Function Operations Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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