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1 151 WebCalc Fall 2002-copyright Joe Kahlig Quiz #15 MATH 151 Section Name: October 24, 2002 Show all your work. 1. Find the inverse of the function y = √ 5 − x. swap variables. √ x= 5−y x2 = 5 − y y = 5 − x2 Answer: y = 5 − x2 and with x ≥ 0 2. For the function f (x) = x5 − 3x3 + 6x with its inverse function g(x), compute g0 (4) Since g0 (a) = 1 f 0 (g(a)) , we need to know what g(4) is. g(4) = 2 is the same as saying f (2) = 4. looking at the equation we see that 2 = 1 so g0 (4) = 1 f 0 (g(4)) = 1 f 0 (1) = 1 5−9+6 = 1 2