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anonymous

  • one year ago

if f(x)--3x+3 then f^-1(x)= ?

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  1. jim_thompson5910
    • one year ago
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    f(x) = -3x + 3 right?

  2. anonymous
    • one year ago
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    yes

  3. jim_thompson5910
    • one year ago
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    try solving y = -3x + 3 for x. Tell me what you get or draw it out

  4. jim_thompson5910
    • one year ago
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    you'll follow the same steps as last time

  5. anonymous
    • one year ago
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    so isolate x?

  6. jim_thompson5910
    • one year ago
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    yes

  7. anonymous
    • one year ago
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    |dw:1436929146403:dw| good so far?

  8. jim_thompson5910
    • one year ago
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    f(x) minus 3 is NOT the same as f(-3)

  9. jim_thompson5910
    • one year ago
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    you simply leave it as f(x) - 3

  10. anonymous
    • one year ago
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    okay

  11. jim_thompson5910
    • one year ago
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    |dw:1436929275093:dw|

  12. jim_thompson5910
    • one year ago
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    what would be the next step? what must you do to both sides to undo the "-3 times x" ?

  13. anonymous
    • one year ago
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    divide by -3

  14. jim_thompson5910
    • one year ago
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    yes |dw:1436929349442:dw|

  15. jim_thompson5910
    • one year ago
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    |dw:1436929370895:dw|

  16. jim_thompson5910
    • one year ago
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    now swap x and f(x), then replace f(x) with the inverse function notation

  17. UsukiDoll
    • one year ago
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    Wouldn't it be easier to swap the variables first and then solve for y ? @jim_thompson5910

  18. jim_thompson5910
    • one year ago
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    yes that is a possibility. Either way you get to the same answer

  19. UsukiDoll
    • one year ago
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    f(x) = y y=-3x+3 swap variables x=-3y+3 solve for y

  20. anonymous
    • one year ago
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    |dw:1436929457505:dw| well this is the inverse function notation

  21. jim_thompson5910
    • one year ago
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    yes it is

  22. jim_thompson5910
    • one year ago
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    |dw:1436929541108:dw|

  23. jim_thompson5910
    • one year ago
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    swap x and f(x) then use the inverse notation in place of f(x) |dw:1436929571273:dw|

  24. UsukiDoll
    • one year ago
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    yeah we are looking for the inverse We just swap the variables x and y and then solve for y ... same process. only swapping first in my opinion is better.

  25. UsukiDoll
    • one year ago
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    here's what I would do .. as an alternative |dw:1436929754290:dw|

  26. UsukiDoll
    • one year ago
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    |dw:1436929808166:dw| replace y with the f^-1(x) notation

  27. UsukiDoll
    • one year ago
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    |dw:1436929849688:dw|

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