a. Express 1 + 4x - x 2 in the form a - (x + b) 2

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a. Express 1 + 4x - x2 in the form a - (x + b)2, where a and b are constants to be found.

f(x) = 1 + 4x - x2 for x ≥ 2

b. Find the coordinates of the turning point of the function f(x), stating whether it is a maximum or minimum point.

c. Explain why f(x) has an inverse and find an expression for f-1(x) in terms of x.

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