Find an expression for f 1 (x) for each of the following functions a f(x) 5x 8 for x b f(x) x 2 3 x x for x , x 0 c f(x) (x 5) 2 3 for x , x 5 d e f f(x) (x 2) 3 1 for x , x 2 f(x) 8 x 3 for x ER, x 3...

a fx 5x 8 for x To find f 1 x we set y fx and solve for x y 5x 8 y 8 5x x y 85 Therefore f 1 x x 85 ...

Find an expression for f 1 (x) for each of the following functions. a. f(x) = 5x

Question:

Find an expression for f⁻¹(x) for each of the following functions.
a. f(x) = 5x − 8 for x ∈ ℝ

b. f(x) = x² + 3 x x + for x ∈ ℝ, x ≥ 0

c. f(x) = (x − 5)² + 3 for x ∈ ℝ, x ≥ 5

f. f(x) = (x − 2)³ − 1 for x ∈ ℝ, x ≥ 2

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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 05:44 AM

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Find an expression for f 1 (x) for each of the following functions. a. f(x) = 5x

Question:

f(x) = 8 x-3 for x ER, x # 3

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a fx 5x 8 for x To find f 1 x we set y fx and solve for x y 5x 8 y 8 5x x y 85 Therefore f 1 x x 85 ...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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