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Math Help - function defined

  1. #1
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    Question function defined

    For the function defined by f(x)=2-x^2, 0 less than or equal to x, use a sketch to help find a formula for f^-1(x). Gave this one my best shot but I need some help with this one. my answer is: f^-1(x)= squrt2-x, x less than or equal to 2.
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  2. #2
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    Quote Originally Posted by kwtolley
    For the function defined by f(x)=2-x^2, 0 less than or equal to x, use a sketch to help find a formula for f^-1(x). Gave this one my best shot but I need some help with this one. my answer is: f^-1(x)= squrt2-x, x less than or equal to 2.
    You have,
    y=2-x^2 for x\geq 0
    It inverse (interchange x and y),
    x=2-y^2
    Thus,
    x-2=-y^2
    Thus,
    2-x=y^2
    Thus,
    y=\sqrt{2-x}
    Below is the graph,
    (red is the original function
    gree in the inverse,
    balck is the identity function showing the symettry)
    Attached Thumbnails Attached Thumbnails function defined-picture1.gif  
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  3. #3
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    Hacker, may I ask what software do you use to create your graphs?
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  4. #4
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    Quote Originally Posted by Soltras
    Hacker, may I ask what software do you use to create your graphs?
    Trojan.Downloader.Adsclicker0x001
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  5. #5
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    Thanks!
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  6. #6
    MHF Contributor Quick's Avatar
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    Quote Originally Posted by ThePerfectHacker
    I'm sort-of scared to click on something that claims to be a trojan horse, a download, and one of those "swat-the-fly" ads.
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  7. #7
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    Quote Originally Posted by Quick
    I'm sort-of scared to click on something that claims to be a trojan horse, a download, and one of those "swat-the-fly" ads.
    Trojan: Is any malicious code/program which discuses as an innconect program like, ( Yazzle Sodoku Game ), while is spyware/malware/adware/dailer/keylogger/backdoor,...
    Thus, how can that possibly be a trojan! If it claims to be one. Just click it (we have a policy here on MHF that more malware is allowed).
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  8. #8
    MHF Contributor Quick's Avatar
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    Quote Originally Posted by ThePerfectHacker
    (we have a policy here on MHF that more malware is allowed).
    I am not so sure I like the policy makers
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  9. #9
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    Quote Originally Posted by Quick
    I am not so sure I like the policy makers
    Oops, I did not releaize what I wrote.
    I wanted to write,
    "No malware is allowed", I guess it was a natural instinct for me to write that.
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  10. #10
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    answer

    thanks for checking my answer.
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