1549901369-Elements_of_Real_Analysis__Denlinger_

B.3 Algebra of Real-Valued Functions 633

10. Prove Theorem B.3.3, (11).

11. Prove Theorem B.3.3, (14).

12. Prove Theorem B.3.3, (15).

13. 
    

    Find functions f =f. g , f =f. g-^1 , such that go f = fog.

    
    


14. 
    

    Prove Theorem B.3.7.

    
    


15. 
    

    Prove Theorem B .3.9.

    
    


16. 
    

    Finish proving Theorem B.3.12, by proving that g = f-^1 ~ f = g-^1.