Determine the Equation of the Horizontal Asymptote for the Graph $$f ( x ) = \ln ( x - 1 ) + 3$$

question 20

Multiple Choice

Determine the equation of the horizontal asymptote for the graph of this function, and state the domain and range of
this function.
- $$f ( x ) = \ln ( x - 1 ) + 3$$

• A) Vertical asymptote: \(x = 3\);
• Domain: \(( 3 , \infty )\), Range: \(( - \infty , \infty )\)
• B) Vertical asymptote: \(x = - 3\);
• Domain: \(( - \infty , - 3 )\), Range: \(( - \infty , \infty )\)
• C) Vertical asymptote: \(x = 1\);
• Domain: \(( 1 , \infty )\), Range: \(( - \infty , \infty )\)
• D) Vertical asymptote: \(x = 1\);
• Domain: \(( - \infty , 1 )\), Range: \(( - \infty , \infty )\)

---

Definitions:

Baby Boomers

The demographic group born approximately between 1946 and 1964, often targeted by marketers for their spending power and specific needs.

Baby Busters

A term referring to the generation born immediately after the Baby Boomers, highlighting a decrease in birth rates; also known as Generation X.

University Market

The university market pertains to the specific segment of the market comprising college and university students, characterized by unique needs and purchasing behaviors.

Mass Media

Diverse media technologies intended to reach a large audience via mass communication, including broadcasting, publishing, and the internet.