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Math Help - search For f - 1

  1. #1
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    search For f - 1

    Hey Guys Hope you are Fine , i need some Help with those numbers i got a lot of them

    determine For f-1

    1)f: x --> (radical) x ^ 2 x E R
    2) f: x ---> x ^ 2 for x = and > 0
    - X ^ 2 <0

    3). f: x ---> sinx, x E R

    4)f: x ---> x 2 / x-1, x # 1

    5)f: x --> x ^ 2-4x 3 / x ^ 2-4x-5, s E] 5 + infinity[

    6)Show that the function:
    F: x --> x ^ 3-x, x E [1,3] admits a function reciproque

    N.B: f-1 --->

    Thanks in advance
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by iceman1 View Post
    Hey Guys Hope you are Fine , i need some Help with those numbers i got a lot of them

    determine For f-1

    1)f: x --> (radical) x ^ 2 x E R
    2) f: x ---> x ^ 2 for x = and > 0
    - X ^ 2 <0

    3). f: x ---> sinx, x E R

    4)f: x ---> x 2 / x-1, x # 1

    5)f: x --> x ^ 2-4x 3 / x ^ 2-4x-5, s E] 5 + infinity[

    6)Show that the function:
    F: x --> x ^ 3-x, x E [1,3] admits a function reciproque

    N.B: f-1 --->

    Thanks in advance
    to find f^{-1}(x), if it exists. switch x and y and solve for y

    example: if f(x) = x + 1, find f^{-1}(x)

    since y = x + 1 for f^{-1}(x), switch x and y

    we get: x = y + 1

    \Rightarrow y = x - 1

    therefore, f^{-1}(x) = x - 1

    now do the same for your questions
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