For Questions 1 and 2, use f(x) = x + 5 and g(x) = 2x. 1. Find (f + g)(x). A 3x + 5. B x + 5. C 2x + 10. D 2 . 2. + 5. 2. Find (f โ g)(x). F 2 . 2. ...
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Chapter 6 Final Exam Review
SCORE ______________
Write the letter for the correct answer in the blank at the right of each question. For Questions 1 and 2, use f(x) = x + 5 and g(x) = 2x. 1. Find (f + g)(x). A 3x + 5
Bx+5
C 2x + 10
D 2๐ฅ 2 + 5
1. ______________
2. Find (f โ g)(x). F 2๐ฅ 2 + 5
G 3๐ฅ 2 + 10x
H 2๐ฅ 2 + 10x
J 2x + 10
2. ______________
D 10
3. ______________
3. If f(x) = 3x + 7 and g(x) = 2x โ 5, find g[f(โ3)]. A โ26 B โ9 C โ1 4. If f(x) = ๐ฅ 2 and g(x) = 3x โ 1 find [ g โฆ f](x). F ๐ฅ 2 + 3x โ 1
H 9๐ฅ 2 โ 1
G 9๐ฅ 2 โ 6x + 1
J 3๐ฅ 2 โ 1
4. ______________
5. Find the inverse of g(x) = โ3x. A ๐โ1 (x) = x + 1
C ๐โ1 (x) = x โ 1
B ๐โ1 (x) = โ3x โ 3
D ๐โ1 (x) = โ 3x
1
5. ______________
6. Determine which pair of functions are inverse functions. F f(x) = x โ 4 g(x) = x + 4
H f(x) = x โ 4 g(x) = 4x โ 1
G f(x) = x โ 4 ๐ฅโ4 g(x) = 4
J f(x) = 4x โ 1 g(x) = 4x + 1
6. ______________
7. State the domain and range of the function graphed. A D = {x โ x > 2}, R = {y โ y > 0} B D = {x โ x < 2}, R = {y โ y > 0} C D = {x โ x โฅ 2}, R = {y โ y < 0} D D = {x โ x โฅ 2}, R = {y โ y โฅ 0}
7. ______________
8. Which inequality is graphed? F y โค โ4๐ฅ + 8 G y > โ4๐ฅ + 8 H y < โ4๐ฅ + 8 J y โฅ โ4๐ฅ + 8 9. Simplify โ121. A 11 Chapter 6
8. ______________
B โ11
D โ11
C ยฑ11
57
9. ______________ Glencoe Algebra 2
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Chapter 6 Final Exam Review (continued) 10. Use a calculator to approximate โ224 to three decimal places. F 15.0
G 14.97
H 14.966
J 14.967
10. _____________
C โ1 + โ5
D โ1 โ โ5
11. _____________
H 10โ3
J 7โ3
12. _____________
5
13. _____________
11. Simplify (2 + โ5)(3 โ โ5). A 1 + โ5
B 1 โ โ5
12. Simplify โ75 + โ12. F 21
G โ87 1
13. Write the expression 57 in radical form. 7
A โ51
7
C โ5
B 35 2
1
14. Simplify the expression ๐5 โข ๐5 . 5
F ๐3
D โ7
3
2
2
G ๐5
H ๐25
J ๐5
14. _____________
B7
C 21
D
25 3
15. _____________
Hx<2
Jx>2
16. _____________
15. Solve โ3๐ฅ + 4 = 5. A โ7
16. Solve 2 + โ5๐ฅ โ 1 > 5. Fx>5
G x > โ2 ๐ฅ
17. Gilda used the formula f(x) = 144 to convert square inches to square feet. Find the inverse of ๐ โ1 (x). A ๐ โ1 (x) = 12x
B ๐ โ1(x) = 144x
C๐ โ1(x) =
144 ๐ฅ
D ๐ โ1(x) = (12๐ฅ 2 )
17. _____________
H 3.14๐ฅ 2
J 6.28x
18. _____________
C1
D5
19. _____________
J 2โ3
20. _____________
18. Find the area of a circle whose radius is ๐ฅ 3 . Use 3.14 for ฯ. F 3.14๐ฅ 6
G 3.14๐ฅ 3 5
1
19. If x is a positive number, then โ๐ฅ รท ๐ฅ 5 = ? A ๐ฅ5