The value of k is now given to be 7. i. Express 2x 2 12x +
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The value of k is now given to be 7.
i. Express 2x2 − 12x + 13 in the form a(x + b)2 + c, where a, b and c are constants.
ii. The function f is defined by f(x) = 2x2 − 12x + 13, for x > k, where k is a constant. It is given that f is a one-one function. State the smallest possible value of k.
iii. Find the range of f .
iv. Find the expression for f−1(x) and state the domain of f−1.
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i To express 2x 12x 13 in the form ax b c we complete the square 2x 12x 13 2x 6x 13 2x 6x 9 9 13 2x ...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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