a. State the smallest value of k for which f has an inverse. f(x) = 9
Question:
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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a For f to have an inverse it needs to be a onetoone function which means that each input correspond...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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