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haleyelizabeth2017

  • one year ago

Find the inverse of f(x).

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  1. haleyelizabeth2017
    • one year ago
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    \[f(x)=\frac{4}{(x-3)^2}\] \[x=\frac{4}{(y-3)^2}\] I'm not entirely sure which step to do next.

  2. welshfella
    • one year ago
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    you need to find y in terms of x first thing you can do is cross multiply

  3. haleyelizabeth2017
    • one year ago
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    Cross multiply?

  4. haleyelizabeth2017
    • one year ago
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    Cross multiply what?

  5. welshfella
    • one year ago
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    |dw:1443654010925:dw|

  6. welshfella
    • one year ago
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    now divide both sides by x

  7. haleyelizabeth2017
    • one year ago
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    Oh!

  8. haleyelizabeth2017
    • one year ago
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    One moment. Let me get to that point :)

  9. haleyelizabeth2017
    • one year ago
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    So I went a little farther than that point, so please correct me if I am wrong :) \[(y-3)^2=\frac{4}{x}\]\[y-3=\frac{\sqrt4}{\sqrt x}\]\[y=\frac{2}{\sqrt x}+3\]

  10. welshfella
    • one year ago
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    that's correct

  11. welshfella
    • one year ago
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    now you just replace the y by f-1(x)

  12. haleyelizabeth2017
    • one year ago
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    okay :) and is it a function?

  13. welshfella
    • one year ago
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    yes its the inverse of the function f(x)

  14. welshfella
    • one year ago
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    Note you only take the positive square root otherwise it would not be a function

  15. haleyelizabeth2017
    • one year ago
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    okay. thank you!

  16. welshfella
    • one year ago
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    yw

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