lesson36outline

lesson36outline - MA 153 Lesson 36 Outline Quiz Solutions...

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MA 153 Lesson 36 Outline Quiz Solutions (Practice problems for distance learning students) 1. Given the function below, find the domain of the inverse function, () yfx = 1 f . x y 2,5 4, 3 0,0 Range of the original function is [ ] 3,5 so the domain of the inverse function is [ ] 3,5 y = f x ( ) 2. Given the function 5 3 x fx x = , find the inverse function, 1 f . 1 3 5 5 3 5 3 35 , 53 3 , 5 x y x y x y xy y x yx y x yyx yx x x y x = = −= x x = = = Answering of homework questions over lesson 35.
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Lesson 36 Section 5.4 Logarithms Example: Graph (from lesson 35) (a) () 2 x fx = y x Definition of a logarithm log y a yx a =↔ x = Domain: which means that you cannot take the logarithm of a negative number of zero. 0 x > ( ) 1 2, 4 ( ) 0,1 ( ) 2, 4 This is a one-to-one function and therefore, the inverse must exist. The inverse of is: 2 x y = 2 y x ( ) 1, 2 = Now we must solve this for y. We can’t because y is the exponent.
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lesson36outline - MA 153 Lesson 36 Outline Quiz Solutions...

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