Q7 - the inverse h-1 ( x ) of h ( x ) . 4. Let f ( x ) = x...

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Problem 1 2 3 4 5 Bonus: Total: Points 20 20 20 20 20 10 100+10 Scores MAP 103: Proficiency Algebra, Quiz #7, Fall 2009 Name Id# Nov. 24, 2009 1. Let f ( x ) = 2 + 3 x x + 1 . Find a formula for the inverse f - 1 ( x ) and solve the equation f - 1 ( x ) = 2 . 2. Let g ( x ) = 1 2 x - 1 2 . Find a formula for the inverse g - 1 ( x ) and show that g - 1 g ( x ) = x. What is the domain for g - 1 ( x )? 3. Let h ( x ) = e x + 2 . By reflecting the graph of h ( x ) over the line f ( x ) = x, sketch a graph for
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Unformatted text preview: the inverse h-1 ( x ) of h ( x ) . 4. Let f ( x ) = x 2 + 1 . Graph the function g ( x ) =-2 f ( x + 1) + 2 . 5. Let f ( x ) = x + 1 and g ( x ) = 3 x +2 . Find the composition g f and nd the value of f g (2) . Bonus (+10 Points): Solve for x : 27 x 2 +1 = 243 ....
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