Question: The function f : x 2 + 6x 5 is defined for x m, where m is a constant. i. Express -x

The function f : ↦ −x2 + 6x − 5  is defined for x ≥ m, where m is a constant.

i. Express -x2 +6x  −5 in the form a(x + b)2 + c, where a, b and c are constants.

ii State the smallest possible value of m for which f is one-one.

iii For the case where m = 5, find an expression for f−1(x) and state the domain of f−1.

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i Completing the square we have x2 6x 5 x2 6x 9 4 x 32 4 Therefore we can express x2 6x 5 ... View full answer

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