# Fall 2007 - 1800F071 MAT 1800 Final Exam SHOW ALL WORK IN A...

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1800F071 MAT 1800 Final Exam SHOW ALL WORK IN A BLUE BOOK: Only MINIMAL CREDIT will be awarded for answers without supporting work. 1. (8 pts.) Solve : 6 x 1 3 x +1 1 2. (6 pts.) Find the domain of the function given by f ( x )= x 2 1 4 x 1 +ln(1 2 x ) 3. (10 pts.) Let f ( x )= x 2 4 x +5 and g ( x )=6 3 x 2 . Find and simplify completely (a) ( f g )( x ) (b) f ( x + h ) f ( x ) h 4. (6 pts.) Let f ( x )= 6 x +5 4 x +5 . Find f 1 ( x ) , where f 1 is the inverse function of f. 5. (8 pts.) An open box is to be made of a rectangular piece of material, 15 inches by 9 inches, by cutting equal squares from the corners and turing up the sides. Let x represent the length of the sides of the squares removed. Express the volume V of the box as a function of x . 6. (10 pts.) The path of a diver is given by y = 4 9 x 2 + 24 9 x +12 where y isthehe ight( infeet) and x

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Fall 2007 - 1800F071 MAT 1800 Final Exam SHOW ALL WORK IN A...

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