The function f : x 2 + 6x 5 is defined for x m,

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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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Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

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Question Posted: Mar 09, 2023 05:43 AM

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The function f : x 2 + 6x 5 is defined for x m,

Question:

Step by Step Answer:

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

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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