The function f is such that f(x) = 3x 2 for x 0. The function
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The function f is such that f(x) = 3x − 2 for x ≥ 0.
The function g is such that g(x) = 2x2 − 8 for x ≤ k, where k is a constant.
a. Find the greatest value of k for which the composite function fg can be formed.
b. For the case where k = −3:
i. find the range of fg
ii. find (fg)−1(x) and state the domain and range of (fg)−1.
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a To find the greatest value of k for which the composite function fg can be formed we need to find ...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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