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Shadly

  • 2 years ago

Which of the following functions is the inverse also the function? I) f(x)= X^3 II) f(x)= X^4 III) f(x)= - |X| They're can be multiple answers because my choices are a. I and II only c. I, II, and III b. I only d. III only

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  1. amistre64
    • 2 years ago
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    also "a" function .. or also "the same" function?

  2. Shadly
    • 2 years ago
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    Also a function, lol sorry

  3. amistre64
    • 2 years ago
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    odd degrees are functionable; even degrees need a restricted domain

  4. amistre64
    • 2 years ago
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    |dw:1373401421696:dw|

  5. amistre64
    • 2 years ago
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    |dw:1373401514303:dw|

  6. tcarroll010
    • 2 years ago
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    Choice #3 inverse is not a function: x = -|y| -> x = -(-y) or -y -> x = y or -y 2 different values of y for each x except for at the origin.

  7. Shadly
    • 2 years ago
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    Okay, how do I figure out the other two?

  8. tcarroll010
    • 2 years ago
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    Well, it looks to me like @amistre64 gave you great help on the first 2.

  9. Shadly
    • 2 years ago
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    I had no idea what she was doing

  10. swissgirl
    • 2 years ago
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    He is mister not a missus :P

  11. tcarroll010
    • 2 years ago
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    The 2 graphs in each post show the function and the inverse to the right of it. A picture tells a thousand words.

  12. amistre64
    • 2 years ago
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    graphwise .... -|x| is basically the same as -x^2

  13. Shadly
    • 2 years ago
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    I dont really understand the graphs... I know the third one isn't a function and I'm guessing the first isn't either...

  14. amistre64
    • 2 years ago
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    do you know what a degree is?

  15. Shadly
    • 2 years ago
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    no

  16. amistre64
    • 2 years ago
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    the exponent ...

  17. amistre64
    • 2 years ago
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    x^(even) is not invertible without restricting its domain x^(odd) is invertible

  18. Shadly
    • 2 years ago
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    okay

  19. Shadly
    • 2 years ago
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    I think I got it thanks ^_^

  20. amistre64
    • 2 years ago
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    good luck :)

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