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100

100. 100. 100. 100. 100. 100. 200. 200. 200. 200. 200. 200. 300. 300. 300. 300. 300. 300. 400. 400. 400. 400. 400. 400. 500. 500. 500. 500. 500. 500. Functions 100. Let. Find. A: Functions 100. Replace f ( x ) with y. Swap x and y.

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100

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  1. 100 100 100 100 100 100 200 200 200 200 200 200 300 300 300 300 300 300 400 400 400 400 400 400 500 500 500 500 500 500

  2. Functions 100 Let Find

  3. A: Functions 100 Replace f(x) with y Swap x and y Solve for y

  4. Functions 200

  5. A: Functions 200

  6. Functions 300

  7. A: Functions 300 Domain of g = all real numbers Domain of (2x2 + 6x - 5) = all real numbers Domain of f ◦ g (x) = all real numbers

  8. Functions 400

  9. A: Functions 400 Swap x and y • Solve for y: • Multiply both sides by 5y – 4. • Move all the terms with y to the left and all others to the right. • Factor and divide

  10. Functions 500

  11. A: Functions 500 Domain of g x ≠ 0 (-∞, -1] U (0, ∞) Domain of f ◦ g (x) = (-∞, -1] U (0, ∞)

  12. Expanding 100 Write each expression as the sum and/or difference of logarithms. Express powers as factors. Assume all variables are positive.

  13. A: Expanding 100

  14. Expanding 200 Write each expression as the sum and/or difference of logarithms. Express powers as factors. Assume all variables are positive.

  15. A: Expanding 200

  16. Expanding 300 Write each expression as the sum and/or difference of logarithms. Express powers as factors. Assume all variables are positive.

  17. A: Expanding 300

  18. Expanding 400 Write each expression as the sum and/or difference of logarithms. Express powers as factors. Assume all variables are positive.

  19. A: Expanding 400

  20. Expanding 500 Write each expression as the sum and/or difference of logarithms. Express powers as factors. Assume all variables are positive.

  21. A: Expanding 500

  22. Condensing 100 Write each expression as a single logarithm. Assume all variables are positive.

  23. A: Condensing 100

  24. Condensing 200 Write each expression as a single logarithm. Assume all variables are positive.

  25. A: Condensing 200

  26. Condensing 300 Write each expression as a single logarithm. Assume all variables are positive.

  27. A: Condensing 300

  28. Condensing 400 Write each expression as a single logarithm. Assume all variables are positive.

  29. A: Condensing 400

  30. Condensing 500 Write each expression as a single logarithm. Assume all variables are positive.

  31. A: Condensing 500

  32. Solving Exponents 100 Solve for x:

  33. A: Solving Exponents 100

  34. Solving Exponents 200 Solve for x:

  35. A: Solving Exponents 200

  36. Solving Exponents 300 Solve for x:

  37. A: Solving Exponents 300

  38. Solving Exponents 400 Solve for x:

  39. A: Solving Exponents 400

  40. Solving Exponents 500 Solve for x:

  41. A: Solving Exponents 500

  42. Solving Logs 100 Solve for x:

  43. A: Solving Logs 100 check

  44. Solving Logs 200 Solve for x:

  45. A: Solving Logs 200 check

  46. Solving Logs 300 Solve for x:

  47. A: Solving Logs 300 check

  48. Solving Logs 400 Solve for x:

  49. A: Solving Logs 400

  50. A: Solving Logs 400

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