Math 149 01 03 QUIZ 5 Bonus Points Name circle your section Dr P D McCray Due 9 March 2012 Page 1 of 3 Justify your answers NO CREDIT for answers only x 4 Consider a function f given by the formula f x D p 4 x Be sure to justify each answer 1 4 points each a Show that f is invertible b What is the domain of f What is the range of f c Find a formula for the inverse function g of f d What is the domain of g 2 14 points What is the range of g Suppose that f 1 is the inverse of a differentiable function f and let G x D If f 3 D 2 and f 0 3 D 1 7 find G 0 2 and explain why your answer is correct 1 f See 6 1 ex 46 1 x Math 149 01 03 QUIZ 5 Bonus Points Name circle your section Dr P D McCray Due 9 March 2012 3 7 points each Page 2 of 3 See 6 1 ex 50 a If f is a one to one twice differentiable function with inverse funcion g show that f 00 g x g 00 x D 0 f g x 3 b Explain why if f is increasing and concave upward then its inverse function g is concave downward AMS LATEX
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