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Unformatted text preview: Study Guide Answers 1. x = 2, x = − 1 3 2. x ≈ . 45 3. the sides of the rectangle have lengths of 6 and 8 4. the sides of the rectangle have lengths of 2 and 4 5. the trains meet at about 3:18 PM and about 318.26 miles from Chicago 6. 23.05 miles 7. 2 x + 1 + h 8. − 2 < x < 2 9. (a) x ≥ − 2 (b) f ◦ g = x 2 + √ x 2 + 2 10. f − 1 ( x ) = − 4 x + 5 7 x − 2 11. f − 1 ( x ) = 1 2 parenleftbigg 1 + ln x ln 3 parenrightbigg 12. − 2 13. When f ( x ) is divided by g ( x ), the remainder is 0: x 3 − x + 1 x 2 + 1 ) x 5 + x 2 − x + 1 − x 5 − x 3 − x 3 + x 2 − x x 3 + x x 2 + 1 − x 2 − 1 14. g ( x ) = − 3( x + 2) − 3 √ x + 1 − 3 15. One series of transformations is: (1) expand ver- tically by a factor of 3, (2) reflect across the x- axis, (3) shift 2 units upward, (4) shift 2 units to the left. 16. One series of transformations is: (1) expand ver- tically by a factor of 2, (2) shift 1 unit to the right....
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