Unformatted text preview: 10 Section 1.2
(x (x 0 0 ( 2 (x 1) 1) 1 1 x 2 x, 3 1 4
[ 4.7, 4.7] by [ 2, 4] 50. (a) f (g(x)) (b) g( f (x)) (c) f (g(x)) (d) g( f (0)) (e) g(g( 2)) (f) f ( f (x)) 1) 1) 1 1 x x g f: 51. (a) Enter y1 f(x) x 7, y2 g(x) y3 ( f g)(x) y1(y2(x)), and y4 (g f )(x) y2(y1(x)) f g: g f: Domain: ( , Range: [0, ) (b) ( f g)(x) 1] [1, ) (g f )(x) 54. (a) Enter y1(x)
[ 10, 70] by [ 10, 3] [ 3, 20] by [ 4, 4] ( x 2)2 3 (x 2) 3, x x 1, x 2 (x2 3) 2 f(x)
2x x 1 ,y 3 2 2 x2
3x 2 1
1 , x Domain: [0, ) Range: [ 7, ) (b) ( f g)(x) x 7 Domain: [7, ) Range: [0, ) (g f )(x) x, x 7 y3 ( f g)(x) y1(y2(x)), and y4 (g f )(x) y2(y1(x)). Use a "decimal window" such as the one shown. f g: 52. (a) Enter y1 f(x) 1 x 2, y2 g(x) y3 ( f g)(x) y1(y2(x)), and y4 (g f )(x) y2(y1(x)) f g: [ 9.4, 9.4] by [ 6.2, 6.2] Domain: ( , 2) (2, ) Range: ( , 2) (2, ) g f:
[ 6, 6] by [ 4, 4] Domain: [0, ) Range: ( , 1] g f: [ 9.4, 9.4] by [ 6.2, 6.2] Domain: ( , 3) ( 3, ) Range: ( , 3) ( 3, )
2
[ 2.35, 2.35] by [ 1, 2.1]
3x 1 2 x 3x 1 2 x 1 3 x) ,x x) (b) ( f g)(x) Domain: [ 1, 1] Range: [0, 1] (b) ( f g)(x) 1 ( x)2 (g f )(x) 1 x2 1 x, x 0 x 2, 2(3x 1) (2 (3x 1) 3(2 7x ,x 7 2 53. (a) Enter y1 f(x) x 2 3, y2 g(x) y3 ( f g)(x) y1(y2(x)), and y4 (g f)(x) y2(y1(x)). f g: 2 2
1 3 2x x x, x
3
2x x 1
1 3 (g f )(x) 2 3(2x 1) (x 2(x 3) (2x
[ 10, 10] by [ 10, 10] 3) ,x 1) 3 7x ,x 7 3 3 Domain: [ 2, ) Range: [ 3, ) x, x ...
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This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.
 Spring '08
 GERMAN

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