The function f is such that f(x) 3x 7 for x The function g is such that a Find the value of x for which fg(x) 5 b Find f 1 (x) and g 1 (x) c Show that the equation f 1 (x) g 1 (x) has no real roots 18 5 x g(x) for x R, x 5 ...

a To find the value of x for which fgx 5 we first need to calculate fgx and set it equal to 5 fgx fg ...

The function f is such that f(x) = 3x 7 for x . The function

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The function f is such that f(x) = 3x − 7 for x ∈ ℝ.
The function g is such that

a. Find the value of x for which fg(x) = 5.

b. Find f⁻¹(x) and g⁻¹(x).

c. Show that the equation f⁻¹(x) = g⁻¹(x) has no real roots.

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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 03:37 AM

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The function f is such that f(x) = 3x 7 for x . The function

Question:

18 5-x g(x) = - for x = R, x # 5.

Step by Step Answer:

a To find the value of x for which fgx 5 we first need to calculate fgx and set it equal to 5 fgx fg...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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