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Math Help - inverse function y=2(x^3)+3

  1. #1
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    inverse function y=2(x^3)+3

    Hello,

    Can you please verify if I have the correct answer?

    y=2x^3+3

    the inverse should be

    x=Cuberoot(y-3/2)
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  2. #2
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    Quote Originally Posted by l flipboi l View Post
    Hello,

    Can you please verify if I have the correct answer?

    y=2x^3+3

    the inverse should be

    x=Cuberoot(y-3/2)
    well yes but no, you swap x and y and solve for y.

    You mean to say

    y = \sqrt[3]{\frac{x-3}{2}}

    Your answer could be mistaken for

    y = \sqrt[3]{x-\frac{3}{2}}
    Last edited by pickslides; January 14th 2010 at 11:49 AM. Reason: wrong variable
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  3. #3
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    Follow This :
    <br />
 y=2(x^3)+3 \rightarrow \frac {y-3}{2} = x^3 \rightarrow x=\sqrt[3]{\frac {y-3}{2}} \rightarrow f^(-1)(x) = \sqrt[3]{\frac {x-3}{2}}<br />
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