a State the smallest value of k for which f has an inverse f(x) 9 (x 3) 2 for x , k x 7 b For this value of k i Find an expression for f 1 (x) ii State the domain and range of f 1 ...

a For f to have an inverse it needs to be a onetoone function which means that each input correspond ...

a. State the smallest value of k for which f has an inverse. f(x) = 9

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a. State the smallest value of k for which f has an inverse.

f(x) = 9 − (x − 3)² for x ∈ ℝ, k ≤ x ≤ 7

b. For this value of k:

i. Find an expression for f⁻¹(x)

ii. State the domain and range 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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a. State the smallest value of k for which f has an inverse. f(x) = 9

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Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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