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# ACT Math - Functions: Tutoring Solution Chapter Exam

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

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Question 2
2.
Use f(x) and g(x) to find g(x) - f(x).

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

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

#### Question 4 4. Which of the following is the inverse function of f(x) = 3x?

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

### Page 2

#### Question 6 6. Factor x^2+4x-5.

#### Question 7 7. Find x if 4x = 2^4.

#### Question 8 8. Evaluate f(x) = √(x), when x = 9.

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Question 9
9.
Find the inverse function of:

y = 1/x

#### Question 10 10. Which of the following is written in function notation?

### Page 3

#### Question 11 11. Which of the following equals (x^2)/(x^3*x^n)?

#### Question 12 12. Evaluate h(x) = 5x + 1, when x=3.

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Question 13
13.
Find the domain of f(x) + g(x) if

f(x) = 2x and

g(x) = sqrt (x+ 5).

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Question 14
14.
What is the range of the function: *g*(*x*) = |x| + 1

#### Question 15 15. Use factoring to find a solution of the following equation: 2x^2+8x = x^2+2x-8. (Remember that if one side of the equation equals zero, and the other side of the equation is a product, then at least one of the parts of the product must equal zero. For example, if 0 = x(3-x), then x must be 0 or (3-x) must be 0.)

### Page 4

#### Question 16 16. Find a * b if a = 2^6 and b = 2^8.

#### Question 17 17. What is f(2) if f(g(3)) = 1 and g(x) = x-1?

#### Question 18 18. What is the domain of the function below?

#### Question 19 19. What does a^b equal if a = 4 and b = 3?

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Question 20
20.
Use f(x) and g(x) to find f(x) + g(x).

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

### Page 5

#### Question 21 21. Which of the following makes an equation a relation rather than a function?

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Question 22
22.
Find the inverse function of f(*x*) = 1?

#### Question 23 23. Expand f(x) = (x+3)^2.

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Question 24
24.
Which one of the following equals 2 * 2 * 2 * 2?

I) 2^4

II) 2^2 * 2^2

III) 2^6/2^4

#### Question 25 25. Which one of these functions has a domain of all real numbers?

### Page 6

#### Question 26 26. Factor the quadratic x^2-4.

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Question 27
27.
Find the inverse of the following function:

f(x) = 2x + 1

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Question 28
28.
Find the domain of the inverse function of:

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

#### Question 29 29. What is the range of the function represented by the graph below?

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Question 30
30.
Which of the following are polynomials?

I) f(x) = x^4+x

II) f(x) = x^2+x*sin(x)

III) f(x) = x+2*sin(2)

#### ACT Math - Functions: 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!