HW13 - MAP 103: Proficiency Algebra Homework #13 DUE:...

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Unformatted text preview: MAP 103: Proficiency Algebra Homework #13 DUE: TUESDAY, DEC 1, 2009 √ 1. Let f (x) = 2. Let g (x) = 2 − x, g (x) = x + 1 and h(−3) = −2. Find f ◦ g ◦ h(−3). √ x − 1. Sketch the function f (x) = 2g (1 − 2x) − 3. 1 3. Consider the exponential function f (x) = 3x . What is the value x in the equation f (x) = 9 ? You do not need to know now to solve exponential equations to find x. 4. Let f (x) = x − 2. Find f −1 (x) and show that f −1 ◦ f (x) = x. 5. Suppose f (3) = 2 and g (x) = x + 1. If h(x) = 2f (x) + 3g (f (x)), find h(3). Extra Credit. +5 Points: Define f by the equation f (x) = x3 + x − 4. Given that this function has a well-defined inverse, determine the value of f −1 (2). ...
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This note was uploaded on 04/18/2010 for the course MAP 103 taught by Professor Staff during the Fall '08 term at SUNY Stony Brook.

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