a Find an expression for f 1 (x) b State the domain and range of f 1 c Sketch, on the same diagram, the graphs of y f(x) and y f 1 (x), making clear the relationship f x 2x 1 for x , 1 x 3 ...

a To find the inverse of f we set y fx and solve for x y 2 ...

a. Find an expression for f 1 (x). b. State the domain and range of f 1

Question:

a. Find an expression for f⁻¹(x).

b. State the domain and range of f⁻¹.

c. Sketch, on the same diagram, the graphs of y = f(x) and y = f⁻¹(x), making clear the relationship.

f : x ↦ 2x − 1 for x ∈ ℝ, −1 ≤ x ≤ 3

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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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a. Find an expression for f 1 (x). b. State the domain and range of f 1

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Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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