Let f, g be functions such that (g f)(x) x for all x D(f) and (f g)(y) y for all y D (g) Prove that g f 1 ...

If gfx x for all x Df then g f is injective ...

Let f, g be functions such that (g f)(x) = x for all x D(f)

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Let f, g be functions such that (g ο f)(x) = x for all x ∈ D(f) and (f ο g)(y) = y for all y ∈ D (g). Prove that g = f-1.

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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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Question Posted: Apr 07, 2016 10:51 AM

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Let f, g be functions such that (g f)(x) = x for all x D(f)

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Introduction to Real Analysis

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