That's a quadratic function. Complete the square.
The function g is defined by g : x --> 2x^{2} - 8x + 11 for x<= A, where A is a constant.
Part (1) State the largest value of A for which g has an inverse.
Part (2) When A has this value, obtain an expression, in terms f x, for g^{-1}(x) and state the range of g^{-1}
Please explain both of these parts and explain the 2nd part in detail. Thank you.