MAT141 Review for Test II BlitzerSections 1.6-1.9, Sections 2.1-2.21. 90% of what number is 63?a. 70b. 7c. 56.7d. 7002. If2( ) and ( ) 5x+10f x g x x= = +, find the domain of the composition( )( )f g xo.a. ( , 15) ( 15, )- �- � - �b. ( , 10) ( 10, )- �- � - �c. ( , 10) ( 10, 5) ( 5, )- �- � - - � - �d. ( , )- ��3. If (9, 9) and (5, 1) represent the endpoints of the diameter of a circle, what is the center of the circle?a. (2, 4)b. (4, 8)c. (14, 10)d. (7, 5)4. The graph shown below is a one-to-one function. Use the graph to sketch the graph ofits inverse. You may assume that each tick mark represents one unit. y=f(x) 1( )y f x-=Spring 2009 1 Blitzerxxy yMAT141 Review for Test II BlitzerSections 1.6-1.9, Sections 2.1-2.25. After a 13% price reduction, a boat sold for $26,970. What was the price before the reduction?a. $30,476.10b. $3,506.10c. $207,461.54d. $31,000.006. For which pair of points below is the distance between them equal to 13?a. (5, 3), (-17, 8)b. (-5,-3), (8, 17)c. (-5, 3), (-17, 8)d. (5,-3), (-8, 17)7. If( ) 8 4 and ( ) 2 4f x x g x x= + = -, find the domain of( )( )f g x�.a. [0, )�b [ 2, )- �c. [2, )�d. ( , )- ��8. Describe the transformation from ( )f x x= to( ) 3 1f x x= - -.a. The graph is shifted left 3 units and down one unit.b. The graph is shifted right 3 units and down one unit.c. The graph is shifted left one unit and down 3 units.d. The graph is shifted right one unit and down 3 units.9. Given that7 1( )5xf x+=, what is1( )f x-?a. 15 1( )7xf x-+=b. 15( )7 1f xx-=+c. 15 1( )7xf x--=d. 15( )7 1f xx-=-10. Given2 2( ) 2 4; ( ) 2 2, find ( )( 2)f x x x g x x x f g= - + = - + -o.a. 124b. 84c. 80d. 128Spring 2009 2 BlitzerMAT141 Review for Test II BlitzerSections 1.6-1.9, Sections 2.1-2.211. Answer questions a-e based on the given tables. a)( (0))f g=b)( ( 2))g f -c)( )(1)f go=d)( )( 3)g f -o=e)1( (2))f g-=12. If the domains of f, g, and h are all positive numbers and21( ) , ( ) ,and ( )f x x g x h x xx= = =, which functions are inverses of each other?a. f(x) and h(x)b. f(x) and g(x)c. g(x) and h(x)d. none 13. Find f g xb gbg for f xxbg12 and g x xbg .a. 12xb. 132 xxc. 13xd. xx23114. Find the functiong xbgthat is the reflection of f x xbg in they-axis.a. g x xbg  1b. g x xbg c. g x xbg  1d. g x xbgSpring 2009 3 Blitzerx f(x) -3 -3 -2 -1-1 1 0 31 52 73 9x g( x)-3 -10-2 -7-1 -40 -11 22 53 8MAT141 Review for Test II BlitzerSections 1.6-1.9, Sections 2.1-2.215. Iff x xbg 3 4andg x xbg 24,find (a)g f xb gbgand (b)f g xb gbg.a. (a) x x24 7  (b) 16 24 132x x b. (a)  4 132x (b) x x24 7 c. (a) x x24 7  (b) 16 13 242x x d. (a)16 24 132x x  (b)  4 132x16. Solve3 321 1xx x+ =- -.a. 1x =b. 2x =c. 15x =d. This equation has no solution.17. A rectangle that is 24 meters long has the same area as a square with 12 meter sides. What is the width of the rectangle?a. 12 metersb. 2 metersc. 6 metersd. There is not enough information given to solve the problem.18. The point (10, 4)- lies on a circle centered at(7, 8)-. Find the equation of the circle in standard form.a. 2 2( 7) ( 8) 25x y- + + =b. 2 2( 7) ( 8) 5x y- + + =c. 2 2( 8) ( 7) 25x y+ + - =d. 2 2( 8) ( 7) 5x y+ + - =Spring 2009 4 BlitzerMAT141 Review for Test II BlitzerSections 1.6-1.9, Sections 2.1-2.219. If1 1( ) and ( )1f x g xx x= =-, find the domain of the composition( )( )f g xo.a. ( ,0) (1, )-�ȥb. ( ,0) (0,1)- � �c. ( ,0) (0,1) (1, )-��ȥd. ( , )- ��20. What is true of the function shown below? You may assume that each tick mark represents one unit. a. This function is one-to-one.b. The range of the function is[ 3, )- �.c. (0) 2f =-.d. The function is the graph of2( )f x x= shifted two units to the right.Spring 2009 5 BlitzerxyMAT141 Review for Test II BlitzerSections 1.6-1.9, Sections 2.1-2.2Key Review Test 21. a2. b3. d4. 12xy-= could use (3, 1) and (1, 0)5. d6. c7. c8. b9. c10. b11. a. 1 b. 4-c. 7 d. 10-e. 112. a13. b14. b15. d16. d17. c18. a19. c20. bSpring 2009 6