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# 559 Class Note for MA 15300 at Purdue

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COURSE
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KARMA
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This 4 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at Purdue University taught by a professor in Fall. Since its upload, it has received 26 views.

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Date Created: 02/06/15
MA 153 Lesson 34 Outline Quiz Solutions Practice problems for distance learning students 1 Solve each system using either elimination or substitution Express your answer as an ordered pair If no solution exists write none 2x 3y 9 Multiply the top equation by 3 and the bottom by 2 a 3x 2y 11 one of many options 6x 9y 27 6x 4y 22 Add the left sides and right sides to eliminate x 5 y 5 y 1 Substitute y into one of the previous equations to nd x 2x319 2x6 x3 Multiply the top equation by 3 9x 3y 24 9x 3y 6 Add the left sides and right sides 018 The lines are parallel and therefore no solution exists Answering of homework questions over lesson 33 Lesson 34 Section 51 Inverse Functions Onetoone function Different x inputs always give different y s outputs Use the horizontal line test to determine onetoone function Example Example Not a function Is a function but not a oneto y one function y A x Fails the vertical line test one x maps to two yas Fails the horizontal line test Two x s map to the same y Example Is the following function onetoone a fx2x l b fxlxl Inverse Functions Notation f1x Example yfx yr1ltxgt Domain Range Domain Range 391 3 3 1 0 gt 5 5 t 0 1 7 7 1 2 9 9 2 In order for the inverse to exist f x must be a onetoone function Example Find the inverse function f 71x a fx 2x3 2x1 3x 5 b f x c fx1 5x2 xSO d fxJ

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