Functions P, Q, R and S are composed in some way to make a new function, f(x).

Question:

For each of the following, write f(x) in terms of the functions P, Q, R and/or S, and state the domain and range for each composite function.

a. f(x) = x² + 4x + 3

b. f(x) = 2x + 1

c. f(x) = x

g. f(x) = x − 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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Functions P, Q, R and S are composed in some way to make a new function, f(x).

Question:

P(x)=x²-1 for x ER R(x) == x for x ER, x 0 Q(x) = x + 2 for x ER S(x)=√x+1-1 for x € R, x ≥ −1

Step by Step Answer:

ANSWER a fx x3x1 PQx Domain All real numbers ...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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