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The function f : x rarr x^2 - 4x + k is ...

The function `f : x rarr x^2 - 4x + k` is defined for the domain `x ge p`, where k and p are constants. (i) Express f(x) in the form `(x + a)^2 + b + k`, where a and b are constants. (ii) State the range of f in terms of k. (iii) State the smallest value of p for which f is one-one. (iv) For the value of p found in part (iii), find an expression for `f^(-1)(x)` and state the domain of `f^(-1)`.giving your answer in terms of k.

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