The function f is such that f(x) 2x 3 for x k, where k is a constant The function g is such that g(x) x 2 4 for x 4 a Find the smallest value of k for which the composite function gf can be formed b Solve the inequality gf(x) 45 ...

a For the composite function gf to be formed the domain of g which is x 4 must ...

The function f is such that f(x) = 2x 3 for x k, where k

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The function f is such that f(x) = 2x − 3 for x ≥ k, where k is a constant. The function g is such that g(x) = x² − 4 for x ≥ −4.

a. Find the smallest value of k for which the composite function gf can be formed.

b. Solve the inequality gf(x) > 45.

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Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

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Authors: Sue Pemberton, Julian Gilbey

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Question Posted: Mar 09, 2023 03:37 AM

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Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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