Test 3 W11

Test 3 W11 - MATH 110 Exam 3 Winter 2011 All Sections No...

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Unformatted text preview: MATH 110 - Exam 3 - Winter 2011 - All Sections No books, notes, or calculators allowed. Do NOT write on this exam. There is no time limit. 1. Find the domain of the composite function f ◦ g where f ( x ) = 3 x- 1 x- 1 and g ( x ) = x + 3 2 x + 1 . (a) x x =- 1 2 , x =- 3 (b) x x = 1 , x =- 1 2 (c) x x = 2 , x =- 1 2 (d) x x = 1 2 (e) x x = 1 3 , x = 1 (f) Domain is all real num- bers. 2. Find the inverse function of f ( x ) = 3 x- 1 x- 1 . State the domain and range of f ( x ). (a) f- 1 ( x ) =- x- 1 3 x- 1 ; domain of f ( x ) = x x = 1 3 ; range of f ( x ) = { y | y = 1 } (b) f- 1 ( x ) =- x- 1 3 x- 1 ; domain of f ( x ) = { x | x = 1 } ; range of f ( x ) = y y = 1 3 (c) f- 1 ( x ) = x + 1 2 x- 1 ; domain of f ( x ) = { x | x =- 1 } ; range of f ( x ) = y y = 1 2 (d) f- 1 ( x ) = x + 1 2 x- 1 ; domain of f ( x ) = x x = 1 2 ; range of f ( x ) = { y | y =- 1 } (e) f- 1 ( x ) = x- 1 x- 3 ; domain of f ( x ) = { x | x = 3 } ; range of f ( x ) = { y | y = 1 } (f) f- 1 ( x ) = x- 1 x- 3 ; domain of f ( x ) = { x | x = 1 } ; range of f...
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Test 3 W11 - MATH 110 Exam 3 Winter 2011 All Sections No...

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