110Exam3W10

110Exam3W10 - Math 110 Exam 3: Winter 2010 4 Mar 2010 - 10...

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Unformatted text preview: Math 110 Exam 3: Winter 2010 4 Mar 2010 - 10 Mar 2010 1. Find the domain of the f g where f ( x ) = x x + 3 and g ( x ) = 2 x . (a) { x | x , } (b) { x | x ,- 3 , x , } (c) { x | x , , x ,- 2 / 3 } (d) { x | x , , x ,- 3 } (e) { x | x ,- 3 , x , , x ,- 2 / 3 } (f) { x | x ,- 2 3 } 2. Find the inverse of f ( x ) = 4 x + 2 . (a) f- 1 ( x ) = 4 x- 2 (b) f- 1 ( x ) = 4 x + 2 (c) f- 1 ( x ) = x + 2 4 (d) f- 1 ( x ) = 2- x (e) f- 1 ( x ) = 2 x- 4 (f) f- 1 ( x ) = x 3. Find the domain of h ( x ) = log 3 x x- 1 . (a) (0 , ) (b) (1 , ) (c) (- , 0) (d) [0 , 1) (e) (- , 0] (1 , ) (f) (- , 0) (1 , ) 4. Suppose that ln 7 = a and ln 2 = b . Express ln( 1 14 ) in terms of a and b . (a) a + b (b) 1- a- b (c) 1- a + b (d)- ( a + b ) (e) 1- b (f) 1 + a- b 5. Solve 4 3 x = 32 for x . (a) x = 5 6 (b) x = 2 3 (c) x = 1 2 (d) x = 6 5 (e) x = 2 (f) x = 3 2 1 6. Which of the following is equivalent to log 5 9: (a) log 5 36- log 5 3 (b) log 5 45- 1 (c) log 5 1 + log 5 3 (d) log...
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110Exam3W10 - Math 110 Exam 3: Winter 2010 4 Mar 2010 - 10...

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