Composite Functions

[nycmath]

Precalculus
Michael Sullivan
Edition 10
Chapter 2, Section 2.1

For the given functions f and g, find (f • g)(x) and
(f/g)(x). Also, find the domain.

See attachment.

[Eigenvalue]

73. (f*g)(x)=[tex]\frac{1}{x}[/tex]*[tex]\frac{x+1}{x}[/tex]=[tex]\frac{x+1}{x²}[/tex]
(f/g)(x)=[tex]\frac{1}{x}[/tex]*[tex]\frac{x}{x+1}[/tex]=[tex]\frac{1}{x+1}[/tex]

[nycmath]

73. (f*g)(x)=[tex]\frac{1}{x}[/tex]*[tex]\frac{x+1}{x}[/tex]=[tex]\frac{x+1}{x²}[/tex]
(f/g)(x)=[tex]\frac{1}{x}[/tex]*[tex]\frac{x}{x+1}[/tex]=[tex]\frac{1}{x+1}[/tex]

Very good.