Composing Functions 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!

Page 1

Question 1 1. If f(x) = 5 + 3x and g(x) = 5 - 9x, find f(g(2)).

Question 2 2.

Find the inverse function of:

y = 1/x

Question 3 3. Which of the following are true?

Question 4 4. If f(x) = x/2 and g(x) = x + 5, evaluate g(f(6)).

Question 5 5. How do you determine whether a function is an inverse of another function?

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Question 6 6. If f(x) = 2x + 1 and g(x) = x+1, evaluate f(g(4)).

Question 7 7. What type of equation is this?

Question 8 8. If f(x) = -2x -5 and g(x) = x^2 + 1, find f(g(x)).

Question 9 9. If f(x) = 5 - 2x and g(x) = -4x + 2, find g(f(x)).

Question 10 10. What type of equation is this?

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Question 11 11. What type of equation is this?

Question 12 12. What notation do you use to show that you have an inverse function?

Question 13 13.

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 14 14. How do you determine what part of the graph to display in the model of a linear relation?

Question 15 15. What type of equation is this?

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Question 16 16. If f(x) = 2x and g(x) = x+1, evaluate f(f(g(1))).

Question 17 17. Which of the following is the inverse function of f(x) = 2x - 3?

Question 18 18. If f(6) = 5, f(1) = 15, g(8) = 3, and g(1) = 6, evaluate f(g(1)).

Question 19 19. Find the FALSE statement.

Question 20 20. Which function would NOT pass the horizontal line test?

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Question 21 21. If f(x) = 2x + 1 and g(x) = x + 1, write the composite function f(f(x)).

Question 22 22. Which of the following models the relation of the equation

Question 23 23. Which of the following statements is true?

Question 24 24. If f(x) = -2x - 5 and g(x) = x^2 + 1, find f(f(x)).

Question 25 25. Which of the following is an example of a linear relation?

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Question 26 26. Which of the following is the inverse function of f(x) = 3x?

Question 27 27. Recalling function notation, we want x to be w. Therefore, if f(x) = (3x + 5) / 2, find f(w).

Question 28 28. What is the inverse function of f(x) = 3(x - 2)3?

Question 29 29. What is the main characteristic of a model of a linear relation?

Question 30 30. What type of equation is this?

Composing Functions 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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