Express each of the following as a composite function, using only f and or g f x x 2 for x g x x 1 for x a x (x 1) 2 b x x2 1 c x x 2 d x x 4 e x x 2 2x 2 f x x 4 2x 2 1 ...

a x fgx x 1 b x fgx gx 1 x 1 1 c x gg ...

Express each of the following as a composite function, using only f and/or g. f : x

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Express each of the following as a composite function, using only f and/or g.

f : x ↦ x² for x ∈ ℝ

g : x ↦ x + 1 for x ∈ ℝ

a. x ↦ (x + 1)²

b. x ↦ x2 + 1

c. x ↦ x + 2

d. x ↦ x⁴

e. x ↦ x² + 2x + 2

f. x ↦ x⁴ + 2x² + 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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Express each of the following as a composite function, using only f and/or g. f : x

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Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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