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

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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 , 0 } (b) { x | x , - 3 , x , 0 } (c) { x | x , 0 , x , - 2 / 3 } (d) { x | x , 0 , x , - 3 } (e) { x | x , - 3 , x , 0 , 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 . 5. Solve 4 3 x = 32 for x . 1
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6. Which of the following is equivalent to log 5 9: 7. Use properties of logarithms to the find the exact value of log 6 9 + log 6 4. (a) 0 (b) 1 (c) 2 (d) 3 (e) 4 (f) none of the above
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