Can someone please explain how to do this? The function g is defined by g(x)=2x^2-8x+11 for x is less than and equal to A, where A is a constant. State the largest value of A for which g has an inverse.

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Can someone please explain how to do this? The function g is defined by g(x)=2x^2-8x+11 for x is less than and equal to A, where A is a constant. State the largest value of A for which g has an inverse.

Mathematics
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\[g(x)=2x^2-8x+11 for x \le A. \]
this is just a parabola ... use the definition of function. A function cannot have two values. For inverse ... swap x and y axis ... you will get A=2 http://www.wolframalpha.com/input/?i=plot+%7C+2+x%5E2-8+x%2B11

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