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Week 6 1. Examples
Given the following functions, f(x) = x and g(x) =   , find




f(x) + g(x)


Domain

 Range

 Graph
Week 6 1. Examples
Given the following functions, f(x) = x and g(x) =   , find




f(x) + g(x)


Domain

 Range

 Graph
Week 6 1. Examples
Given the following functions, f(x) = x and g(x) =      , find
                                                 f(x)




f(x) + g(x)


Domain

 Range

 Graph
Week 6 1. Examples
Given the following functions, f(x) = x and g(x) =      , find
                                                 f(x)




f(x) + g(x)


Domain

 Range

 Graph
Week 6 1. Examples
Given the following functions, f(x) = x and g(x) =      , find
               g(x)                              f(x)




f(x) + g(x)


Domain

 Range

 Graph
Week 6 1. Examples
Given the following functions, f(x) = x and g(x) =      , find
               g(x)                              f(x)




f(x) + g(x)


Domain

 Range

 Graph
Week 6 1. Examples
Given the following functions, f(x) = x and g(x) =      , find
               g(x)                              f(x)




f(x) + g(x)


Domain

 Range

 Graph
Week 6 1. Examples
Given the following functions, f(x) = x and g(x) =      , find
               g(x)                              f(x)




f(x) + g(x)


Domain

 Range

 Graph
Week 6 1. Examples
Given the following functions, f(x) = x and g(x) =      , find
               g(x)                              f(x)




f(x) + g(x)


Domain    =R

 Range

 Graph
Week 6 1. Examples
Given the following functions, f(x) = x and g(x) =      , find
               g(x)                              f(x)




f(x) + g(x)


Domain    =R

 Range

 Graph
1. Examples
Given the following functions, f(x) = x2 and g(x) = x + 2,
find




f(x) - g(x)


Domain

Range

 Graph
1. Examples
Given the following functions, f(x) = x2 and g(x) = x + 2,
find




f(x) - g(x)


Domain

Range

 Graph
1. Examples
Given the following functions, f(x) = x2 and g(x) = x + 2,
find
                                         f(x)




f(x) - g(x)


Domain

Range

 Graph
1. Examples
Given the following functions, f(x) = x2 and g(x) = x + 2,
find
                                         f(x)




f(x) - g(x)


Domain

Range

 Graph
1. Examples
Given the following functions, f(x) = x2 and g(x) = x + 2,
find
                              g(x)       f(x)




f(x) - g(x)


Domain

Range

 Graph
1. Examples
Given the following functions, f(x) = x2 and g(x) = x + 2,
find
                              g(x)       f(x)




f(x) - g(x)


Domain

Range

 Graph
1. Examples
Given the following functions, f(x) = x2 and g(x) = x + 2,
find
                              g(x)       f(x)




f(x) - g(x)


Domain

Range

 Graph
1. Examples
Given the following functions, f(x) = x2 and g(x) = x + 2,
find
                              g(x)       f(x)




f(x) - g(x)


Domain

Range

 Graph
1. Examples
Given the following functions, f(x) = x2 and g(x) = x + 2,
find
                              g(x)       f(x)




f(x) - g(x)


Domain

Range

 Graph
1. Examples
Given the following functions, f(x) = x2 and g(x) = x + 2,
find




f(x) - g(x)


Domain

Range

 Graph
1. Examples
Given the following functions, f(x) = x2 and g(x) = x + 2,
find




f(x) - g(x) = x2 - x - 2


Domain

Range

 Graph
1. Examples
Given the following functions, f(x) = x2 and g(x) = x + 2,
find




f(x) - g(x) = x2 - x - 2


Domain = R

Range

 Graph
1. Examples
Given the following functions, f(x) = x2 and g(x) = x + 2,
find




f(x) - g(x) = x2 - x - 2


Domain = R

Range

 Graph
1. Examples

Let f(x) = x - 3, and g(x) = -2x + 1, without graphing, find:


  f(x)/g(x)



   Domain



    Range
1. Examples

Let f(x) = x - 3, and g(x) = -2x + 1, without graphing, find:


  f(x)/g(x)



   Domain



    Range
1. Examples

Let f(x) = x - 3, and g(x) = -2x + 1, without graphing, find:


  f(x)/g(x)



   Domain



    Range
1. Examples

Let f(x) = x - 3, and g(x) = -2x + 1, without graphing, find:


  f(x)/g(x)



   Domain



    Range
2. Algebra of Functions and Composition of Functions
- Definition.
3. Homework 10.

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DiffCalculus: September 10, 2012

  • 1. Week 6 1. Examples Given the following functions, f(x) = x and g(x) = , find f(x) + g(x) Domain Range Graph
  • 2. Week 6 1. Examples Given the following functions, f(x) = x and g(x) = , find f(x) + g(x) Domain Range Graph
  • 3. Week 6 1. Examples Given the following functions, f(x) = x and g(x) = , find f(x) f(x) + g(x) Domain Range Graph
  • 4. Week 6 1. Examples Given the following functions, f(x) = x and g(x) = , find f(x) f(x) + g(x) Domain Range Graph
  • 5. Week 6 1. Examples Given the following functions, f(x) = x and g(x) = , find g(x) f(x) f(x) + g(x) Domain Range Graph
  • 6. Week 6 1. Examples Given the following functions, f(x) = x and g(x) = , find g(x) f(x) f(x) + g(x) Domain Range Graph
  • 7. Week 6 1. Examples Given the following functions, f(x) = x and g(x) = , find g(x) f(x) f(x) + g(x) Domain Range Graph
  • 8. Week 6 1. Examples Given the following functions, f(x) = x and g(x) = , find g(x) f(x) f(x) + g(x) Domain Range Graph
  • 9. Week 6 1. Examples Given the following functions, f(x) = x and g(x) = , find g(x) f(x) f(x) + g(x) Domain =R Range Graph
  • 10. Week 6 1. Examples Given the following functions, f(x) = x and g(x) = , find g(x) f(x) f(x) + g(x) Domain =R Range Graph
  • 11. 1. Examples Given the following functions, f(x) = x2 and g(x) = x + 2, find f(x) - g(x) Domain Range Graph
  • 12. 1. Examples Given the following functions, f(x) = x2 and g(x) = x + 2, find f(x) - g(x) Domain Range Graph
  • 13. 1. Examples Given the following functions, f(x) = x2 and g(x) = x + 2, find f(x) f(x) - g(x) Domain Range Graph
  • 14. 1. Examples Given the following functions, f(x) = x2 and g(x) = x + 2, find f(x) f(x) - g(x) Domain Range Graph
  • 15. 1. Examples Given the following functions, f(x) = x2 and g(x) = x + 2, find g(x) f(x) f(x) - g(x) Domain Range Graph
  • 16. 1. Examples Given the following functions, f(x) = x2 and g(x) = x + 2, find g(x) f(x) f(x) - g(x) Domain Range Graph
  • 17. 1. Examples Given the following functions, f(x) = x2 and g(x) = x + 2, find g(x) f(x) f(x) - g(x) Domain Range Graph
  • 18. 1. Examples Given the following functions, f(x) = x2 and g(x) = x + 2, find g(x) f(x) f(x) - g(x) Domain Range Graph
  • 19. 1. Examples Given the following functions, f(x) = x2 and g(x) = x + 2, find g(x) f(x) f(x) - g(x) Domain Range Graph
  • 20. 1. Examples Given the following functions, f(x) = x2 and g(x) = x + 2, find f(x) - g(x) Domain Range Graph
  • 21. 1. Examples Given the following functions, f(x) = x2 and g(x) = x + 2, find f(x) - g(x) = x2 - x - 2 Domain Range Graph
  • 22. 1. Examples Given the following functions, f(x) = x2 and g(x) = x + 2, find f(x) - g(x) = x2 - x - 2 Domain = R Range Graph
  • 23. 1. Examples Given the following functions, f(x) = x2 and g(x) = x + 2, find f(x) - g(x) = x2 - x - 2 Domain = R Range Graph
  • 24. 1. Examples Let f(x) = x - 3, and g(x) = -2x + 1, without graphing, find: f(x)/g(x) Domain Range
  • 25. 1. Examples Let f(x) = x - 3, and g(x) = -2x + 1, without graphing, find: f(x)/g(x) Domain Range
  • 26. 1. Examples Let f(x) = x - 3, and g(x) = -2x + 1, without graphing, find: f(x)/g(x) Domain Range
  • 27. 1. Examples Let f(x) = x - 3, and g(x) = -2x + 1, without graphing, find: f(x)/g(x) Domain Range
  • 28. 2. Algebra of Functions and Composition of Functions - Definition.

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