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x1 - MATH 2144 FALL 2011 EXAM I VERSION 1 NAME The exam has...

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MATH 2144 - FALL 2011 - EXAM I VERSION 1 NAME: The exam has 13 problems. The total number of points is 100. Be sure to follow the instructions for each problem. Draw a box around each of your final answers. Write neatly and legibly. Unreadable answers are wrong.
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1. (8 points) After each function below state all the classes of functions to which that function belongs out of this list: power, root, polynomial, rational, algebraic, trigonometric, exponential, logarithmic . On each part of the problem you will receive one point for each correct answer and lose one point for each incorrect answer that you state (but not get less than zero). (a) x 5 + 2 (b) 1 3 x (c) 1 + x 3 x 2 + 5 (d) 1 + x 1 / 3 x 2 + 4 (e) q 1 + x 2. (4 points) State the domain of the function f ( x ) = 16 - x 2 using interval notation. 3. (6 points) H ( x ) = q sin( x 4 ). Find f ( x ), g ( x ), and h ( x ) such that H = f g h . Do not use the identity function i ( x ) = x .
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4. (8 points) Find a formula for the inverse f - 1 ( x ) of the function f ( x ) = 3 - 4 x 2 x - 1 . Show all the algebraic steps necessary to solve for f - 1 ( x
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