# Exam1reviewAnswers - Math 112 1 Find the domain of the...

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Math 112 Exam 1 Review Fall 2010 1. Find the domain of the functions (a) g ( x ) = 3 - x ( x +1) 2 Answer: ( -∞ , - 1) ( - 1 , - 3] (b) log( x - 3 - 4 /x ) Answer: ( - 1 , 0) (4 , ) 2. The graph of y = F ( x ) is given. Sketch the graph of the following functions: y = F ( x ) 6 - x y Q Q Q Q Q 1 1 (a) y = F ( x + 2) - 3 Answer: 6 - x y Q Q Q Q Q 1 1

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6. Solve each equation exactly: (a) log 3 ( x + 2) - log 3 ( x - 1) = 3 Answer: 29/26 (b) log 5 (2 x - 1) + log 5 ( x + 4) = log 5 x Answer: ( 17 - 3) / 2 (c) 3 e 2 x - 1 = 12 Answer: (ln 4 + 1) / 2 (d) 2 x +2 = 5 3 x Answer: (2 ln 2) / (3 ln 5 - ln 2) 7. Find the inverse of the functions: (a) f ( x ) =
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