The function f : x 2 + 6x 5 is defined for x m,
Question:
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 the full answer
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Related Book For
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
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