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anonymous

  • 5 years ago

Find a formula for the inverse of the function. f(x) = ex5

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  1. anonymous
    • 5 years ago
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    It that e^5?

  2. anonymous
    • 5 years ago
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    maybe \[e^{5x}\]?

  3. anonymous
    • 5 years ago
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    because \[e^5\] is a number

  4. anonymous
    • 5 years ago
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    Yeah, that's what I was starting to wonder :)

  5. anonymous
    • 5 years ago
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    number has an additive inverse and a multiplicative inverse but a constant function has no inverse

  6. anonymous
    • 5 years ago
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    yeah it does. Two has an inverse of 1/2, right?

  7. anonymous
    • 5 years ago
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    multiplicative on. additive one too: -2

  8. anonymous
    • 5 years ago
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    But isn't a constant function a constant number, too?

  9. anonymous
    • 5 years ago
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    Like, the derivative of 2x. Isn't that a constant function?

  10. anonymous
    • 5 years ago
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    but as a function \[f(x)=2\] is about as not one to one as you can get!

  11. anonymous
    • 5 years ago
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    But, wouldn't it be so? Since f(x)=y, then y is constant, so f(x) is constant, also, by the equality property.

  12. anonymous
    • 5 years ago
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    ??

  13. anonymous
    • 5 years ago
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    we are talking about inverse function. its inverse in g(x)=(lnx)/5

  14. anonymous
    • 5 years ago
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    \[f(x)=2\] so \[f(1)=2,f(2)=2, f(3)=2,f(4)=2\]

  15. anonymous
    • 5 years ago
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    e^x^5

  16. anonymous
    • 5 years ago
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    what the heck would the inverse be?

  17. anonymous
    • 5 years ago
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    sorry for that

  18. anonymous
    • 5 years ago
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    ...... OH! Wow, I'm really sorry about that :3 I'm sorry, just tryin to figure everything out.

  19. anonymous
    • 5 years ago
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    ahh \[e^{x^5}\]

  20. anonymous
    • 5 years ago
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    (lnx)^1/5 is what i got

  21. anonymous
    • 5 years ago
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    \[x=e^{y^5}\] \[ln(x)=y^5\] \[y=\sqrt[5]{ln(x)}\]

  22. anonymous
    • 5 years ago
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    what you wrote, yes!

  23. anonymous
    • 5 years ago
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    thanks for all the help sorry for causing that long discussion

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