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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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 05:42 AM

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The function f is such that f(x) = 3x 2 for x 0. The function

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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

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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