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Understanding Function Operations in Trigonometry: Tutoring Solution 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.

Solve the following equation for c.

2a - 3b + c - 3 = 6a + 4b - 12

Question 2 2. Remembering function notation, we want x to be w. Therefore, if

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

Question 4 4.

Solve for x and y.

x + y = 5

x - y = -1

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

Question 7 7. 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 8 8. Which of the following describes the 'composite' of two functions?

Question 9 9. What is the range of f(g(x)) if f(x) = |x| and g(x) = cos(x)?

Question 10 10. Which of the following is the inverse function of f(x) = 2x - 3?

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Question 11 11.

Find f(g(2)) if:

f(x) = x^2

g(x) = x^3

Question 12 12. What is f(2) if f(g(3)) = 1 and g(x) = x-1?

Question 13 13. What is the inverse function of f(x) = x/8 + x + 2?

Question 14 14. What is f(g(2)) if g(x) = x^2 and f(x) = x^3?

Question 15 15. All of the following are one-to-one functions, EXCEPT:

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Question 16 16. Evaluate.

Question 17 17. Write the composite function f(g(x)) when f(x) = x^2 + x + 1 and g(x) = x + 1.

Question 18 18. Use the graph to find f(f(2)).

Question 19 19. Evaluate f(f(x)). [Yes, it says f(f(x)]

Question 20 20.

Find the inverse function of:

y = 1/x

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Question 21 21. How many times do the answers of a one-to-one function repeat?

Question 22 22. Which function would NOT pass the horizontal line test?

Question 23 23. Find f(x) if f-1 (x) = x3 + 2

Question 24 24. What is the domain of the function f(x) = x?

Question 25 25. If f(x) = x and g(x) = 1 / x, what is the domain of f(g(x))?

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Question 26 26. Find the inverse function of f(x) = 1?

Question 27 27. Which of the following statements is true?

Question 28 28.

Solve for x and y.

x - 3y = -1

2x - 2y = 2

Question 29 29.

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

Understanding Function Operations in Trigonometry: Tutoring Solution 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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