True or False: If f and g are both invertible (i.e. have their inverses), then f + g is also invertible.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section6.4: Determinants And Cramer’s Rule
Problem 3E
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True or False: If f and g are both invertible (i.e. have their inverses), then f + g is also invertible.

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Step 1

Given the statement that if f and g are both invertible functions then their sum (f + g) is also invertible . 

This statement is False.

That means in general sum of two invertible functions are not invertible.

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