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COMBINING FUNCTIONS

COMBINING FUNCTIONS. COMBINING FUNCTIONS. SOME FUNCTION RULES : SUM DIFFERENCE PRODUCT QUOTIENT . COMBINING FUNCTIONS. EXAMPLE # 1 : Find . COMBINING FUNCTIONS. EXAMPLE # 1 : Find . COMBINING FUNCTIONS. EXAMPLE # 1 : Find . EXAMPLE # 2 : Find .

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COMBINING FUNCTIONS

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  1. COMBINING FUNCTIONS

  2. COMBINING FUNCTIONS SOME FUNCTION RULES : SUM DIFFERENCE PRODUCT QUOTIENT

  3. COMBINING FUNCTIONS EXAMPLE # 1 : Find

  4. COMBINING FUNCTIONS EXAMPLE # 1 : Find

  5. COMBINING FUNCTIONS EXAMPLE # 1 : Find EXAMPLE # 2 : Find

  6. COMBINING FUNCTIONS EXAMPLE # 1 : Find EXAMPLE # 2 : Find

  7. COMBINING FUNCTIONS EXAMPLE # 3 : Find

  8. COMBINING FUNCTIONS EXAMPLE # 3 : Find EXAMPLE # 4 : Find

  9. COMBINING FUNCTIONS COMPOSITE FUNCTIONS :

  10. COMBINING FUNCTIONS COMPOSITE FUNCTIONS : EXAMPLE : Find

  11. COMBINING FUNCTIONS COMPOSITE FUNCTIONS : EXAMPLE : Find

  12. COMBINING FUNCTIONS COMPOSITE FUNCTIONS : EXAMPLE # 2 : Find

  13. COMBINING FUNCTIONS COMPOSITE FUNCTIONS : EXAMPLE #2 : Find

  14. COMBINING FUNCTIONS COMPOSITE FUNCTIONS : EXAMPLE # 3 : Find

  15. COMBINING FUNCTIONS COMPOSITE FUNCTIONS : EXAMPLE # 3 : Find

  16. COMBINING FUNCTIONS COMPOSITE FUNCTIONS : In some cases, we will be given the composite function and we will need to find the two functions that created that composite function.

  17. COMBINING FUNCTIONS COMPOSITE FUNCTIONS : In some cases, we will be given the composite function and we will need to find the two functions that created that composite function. In most cases, look for expressions inside parentheses and also expressions under roots. However, this is not always the way to attack these problems.

  18. COMBINING FUNCTIONS COMPOSITE FUNCTIONS : In some cases, we will be given the composite function and we will need to find the two functions that created that composite function. In most cases, look for expressions inside parentheses and also expressions under roots. However, this is not always the way to attack these problems. EXAMPLE : is the result of a composite function Find f(x) and g(x).

  19. COMBINING FUNCTIONS COMPOSITE FUNCTIONS : In some cases, we will be given the composite function and we will need to find the two functions that created that composite function. In most cases, look for expressions inside parentheses and also expressions under roots. However, this is not always the way to attack these problems. EXAMPLE : is the result of a composite function Find f(x) and g(x). Think ; I have “something” raised to the third power. The “something” is g(x), raised to the third power

  20. COMBINING FUNCTIONS COMPOSITE FUNCTIONS : In some cases, we will be given the composite function and we will need to find the two functions that created that composite function. In most cases, look for expressions inside parentheses and also expressions under roots. However, this is not always the way to attack these problems. EXAMPLE : is the result of a composite function Find f(x) and g(x). Think ; I have “something” raised to the third power. The “something” is g(x), raised to the third power

  21. COMBINING FUNCTIONS COMPOSITE FUNCTIONS : In some cases, we will be given the composite function and we will need to find the two functions that created that composite function. In most cases, look for expressions inside parentheses and also expressions under roots. However, this is not always the way to attack these problems. EXAMPLE : is the result of a composite function Find f(x) and g(x).

  22. COMBINING FUNCTIONS COMPOSITE FUNCTIONS : In some cases, we will be given the composite function and we will need to find the two functions that created that composite function. In most cases, look for expressions inside parentheses and also expressions under roots. However, this is not always the way to attack these problems. EXAMPLE : is the result of a composite function Find f(x) and g(x). Think ; I have the square root of“something” . The “something” is g(x), under a square root

  23. COMBINING FUNCTIONS COMPOSITE FUNCTIONS : In some cases, we will be given the composite function and we will need to find the two functions that created that composite function. In most cases, look for expressions inside parentheses and also expressions under roots. However, this is not always the way to attack these problems. EXAMPLE : is the result of a composite function Find f(x) and g(x). Think ; I have the square root of“something” . The “something” is g(x), under a square root

  24. COMBINING FUNCTIONS COMPOSITE FUNCTIONS : When determining the domain of composite functions, it is necessary to look at domain values individually as well as the composite.

  25. COMBINING FUNCTIONS COMPOSITE FUNCTIONS : When determining the domain of composite functions, it is necessary to look at domain values individually as well as the composite. EXAMPLE :

  26. COMBINING FUNCTIONS COMPOSITE FUNCTIONS : When determining the domain of composite functions, it is necessary to look at domain values individually as well as the composite. EXAMPLE : The domian of ƒ(x) is all real numbers except zero…

  27. COMBINING FUNCTIONS COMPOSITE FUNCTIONS : When determining the domain of composite functions, it is necessary to look at domain values individually as well as the composite. EXAMPLE : The domian of ƒ(x) is all real numbers except zero… Performing the composite …

  28. COMBINING FUNCTIONS COMPOSITE FUNCTIONS : When determining the domain of composite functions, it is necessary to look at domain values individually as well as the composite. EXAMPLE : The domian of ƒ(x) is all real numbers except zero… Performing the composite … Domain – all real numbers except x = 0, - 3

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