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Math Help - Restricted domain such that inverse of a function exists.

  1. #1
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    Restricted domain such that inverse of a function exists.

    Given function g is defined by g:x --> 2x^2 -8x+11 where x < or equal to A WHERE A IS A CONSTANT

    (a)state the largest value of A which g has an inverse
    Who know how to do this question?!?!?!?!?!!?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Greensew View Post
    Given function g is defined by g:x --> 2x^2 -8x+11 where x < or equal to A WHERE A IS A CONSTANT

    (a)state the largest value of A which g has an inverse
    Who know how to do this question?!?!?!?!?!!?
    That the function has an inverse requires that there be one and only one solution x that gives the value g(y), and then g(x)=g(y). As g(x) is a quadratic this is the case as long as x<x_0, where (x_0,g(x_0)) is the lowest point on the graph of y=g(x).

    (Draw a picture)

    CB
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