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Math Help - Finding the image of a function

  1. #1
    iva
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    Finding the image of a function

    I've read the definition and examples of domain, co-domain and images, and understand the the image is the end result of the relationship between the domain and codomain. But, why then is it always expressed in terms of x when x is commonly used in the domain, or am i missing something. As an example i had to find the image of the function


    f(x) = 5/(2+x^2)

    and if I follow the same steps as other examples I get the result

    image f = {x|x element of R and 0 < x =< 5/2}

    seeing as

    (2+x^2) >= 2

    Is this right though?

    Thank you
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  2. #2
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    Re: Finding the image of a function

    Quote Originally Posted by iva View Post

    f(x) = 5/(2+x^2)

    image f = {x|x element of R and 0 < x =< 5/2}

    seeing as

    (2+x^2) >= 2

    Is this right though?
    That is correct.
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