Suppose that S is an invertible function from Y to Z and g

Chapter 1, Problem 70E

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QUESTION:

Suppose that S is an invertible function from Y to Z and g is an invertible function from X to Y. Show that the inverse of the composition f o g is given by (f o g)-1 =g-1 o f-1.

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QUESTION:

Suppose that S is an invertible function from Y to Z and g is an invertible function from X to Y. Show that the inverse of the composition f o g is given by (f o g)-1 =g-1 o f-1.

ANSWER:

Solution:Step 1:The objective of this problem to prove that the inverse of the composition f o g is given by (f o g)-1=g-1 o f--1

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