151review1Sp09

151review1Sp09 - Math 151, Spring 2009, Review Problems for...

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Unformatted text preview: Math 151, Spring 2009, Review Problems for Exam 1 Your first exam is likely to have problems that do not resemble these review problems. Precalculus 1. Find the domain and range of the following functions. (a) √ 3- x (b) 1 √ x 2 +1 (c) 1 √ 2- x 2. Express the set of real numbers x satisfying the given condition as an interval. (a) | x + 2 | < 7 (b) | 3 x- 1 | ≥ 5 (c) | x + 2 | < 7 and | 3 x- 1 | ≥ 5 are true. 3. Find ( f ◦ g )( x ) and ( g ◦ f )( x ), where f ( x ) = √ x 2 + 2 and g ( x ) = x 2 + 1. 4. Find the inverse of the function f ( x ) = x x + 1 . 5. Simplify cot(sin- 1 ( x )) and sin- 1 sin 4 π 3 . Limits and Continuity 6. Find the following limits (a) lim x → 2 √ x + 1- 1 x + 3 (b) lim x → 3 x ( x + 1) x + 3 7. Find the following limits (a) lim x → 2 √ 4 x + 1- 3 x- 2 (b) lim x → 5 x ( x- 5) √ x- √ 5 (c) lim x → 2 x 2 + 4 x- 12 x 2- 9 x + 14 8. Show that the equation x 2- cos( x ) = 1 has a solution in the open interval (1 , 2)....
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This note was uploaded on 03/14/2011 for the course MATH 151 taught by Professor Stevens during the Spring '11 term at Rust.

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151review1Sp09 - Math 151, Spring 2009, Review Problems for...

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