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Suppose g(x)=4x^2+8x+13. Does g have an inverse? If so, find g^{-1}(25)

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since g(x) is a parabola, there are two values of x for every value of g.
So, there is no inverse.

However, if you pick a single branch of the parabola (that is, you restrict the domain), there is an inverse.
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