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# fall 07 - F0710501 MAT 1050 GROUP FINAL EXAM FALL 2007 SHOW...

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F0710501 1 MAT 1050 GROUP FINAL EXAM – FALL 2007 SHOW ALL WORK. DO NOT USE A CALCULATOR. 1. (7 pts.) Simplify by adding (or subtracting) like terms wherever possible: 3 3 4 4 3 5 3 1 3 1 3 1 + + + y y 2. (7 pts.) Simplify completely: 52 32 04 4 (2 ) ab c bc ⎛⎞ ⎜⎟ ⎝⎠ 3. (7 pts.) Simplify completely: () 2 12 27 4. (7 pts.) Simplify completely: 1 3 4 2 3 3 4 16 81 6 + 5. (6 pts.) Let 1 () 7 4 2 fx x =+ + . Find all inputs, x , such that () 5 < . 6. (6 pts.) Solve: 24 6 5 x −+ ≤− 7. (7 pts.) If Charles lost 20 pounds, he would weigh seven times as much as his pet boa constrictor. Together they weigh 200 pounds. How much does each weigh? 8. (7 pts.) Solve for 43 : 3 x yz z z + = 9. (6 pts.) Let f be the function given by 2 1 3 ) ( 2 3 + = x x x x f . What is the domain of f ? 10. (6 pts.) Let k be the function given by 6 3 ) ( 2 + = x x x k . Find and simplify () ( ) [] . 2 1 3 2 + k k

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F0710501 2 y x 2 1 3 3 -3 -3 2 -2 -2 1 -1 -1 4 4 -4 -4 5 5 -5 -5 6 6 -6 11. (7 pts.) Let f be the function given by 2 () f xxx = .
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fall 07 - F0710501 MAT 1050 GROUP FINAL EXAM FALL 2007 SHOW...

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