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Math Help - verifying a function is one to one and finding inverse

  1. #1
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    verifying a function is one to one and finding inverse

    I need help with this. Determine whether the function is one-to-one. If it is, find its inverse function. (If an answer does not exist, enter DNE.)
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    Quote Originally Posted by sydewayzlocc View Post
    I need help with this. Determine whether the function is one-to-one. If it is, find its inverse function. (If an answer does not exist, enter DNE.)
    Dear sydewayzlocc,

    This is an equation of a straight line. Therefore the function is one-to-one.

    f(x)=ax+b

    x=\frac{1}{a}\left(f(x)-b\right)

    Therefore inverse function, f^{-1}(x)=\frac{1}{a}\left(x-b\right)

    Hope this will help you.
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