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Math Help - Graph of Inverse Sketching

  1. #1
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    Graph of Inverse Sketching

    I need to sketch the graph of the inverse of: f(x)=x^3+4

    I am given the graph of the above . . . The inverse that I got was f^-1(x)= cube root x-4

    I apologize for not knowing how to make the cuberoot sign on here. I am not looking for an answer but how to solve it with only the picture of the graph of the original problem.

    From the example problems it seems as if I am supposed to draw a diagonal line through the first and 3rd quadrants and mirror the graph?
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  2. #2
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    Quote Originally Posted by Salamandar View Post
    I need to sketch the graph of the inverse of: f(x)=x^3+4

    I am given the graph of the above . . . The inverse that I got was f^-1(x)= cube root x-4

    I apologize for not knowing how to make the cuberoot sign on here. I am not looking for an answer but how to solve it with only the picture of the graph of the original problem.

    From the example problems it seems as if I am supposed to draw a diagonal line through the first and 3rd quadrants and mirror the graph?
    1. Draw the line y = x

    2. Reflect the graph of f about this line and your are done.

    3. Click on the equation to see how to write the nth roots:

    f^{-1}(x)=\sqrt[3]{x-4}
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  3. #3
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    Thank you for your quick response!

    Also, is there somewhere to find all the symbols/abbreviations that are used to type the math problems correctly?
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  4. #4
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    Quote Originally Posted by Salamandar View Post
    ...

    Also, is there somewhere to find all the symbols/abbreviations that are used to type the math problems correctly?
    Have a look here: http://www.mathhelpforum.com/math-he...-tutorial.html
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