Determine the Equation of the Horizontal Asymptote for the Graph $$f ( x ) = \log ( x + 5 ) + 3$$

question 10

Multiple Choice

Determine the equation of the horizontal asymptote for the graph of this function, and state the domain and range of
this function.
- $$f ( x ) = \log ( x + 5 ) + 3$$

• A) Vertical asymptote: \(x = 5\);
• Domain: \(( 5 , \infty )\), Range: \(( - \infty , \infty )\)
• B) Vertical asymptote: \(x = - 5\);
• Domain: \(( - 5 , \infty )\), Range: \(( - \infty , \infty )\)
• C) Vertical asymptote: \(x = 0\);
• Domain: \(( - \infty , 0 )\), Range: \(( 0 , \infty )\)
• D) Vertical asymptote: \(x = + 3\);
• Domain: \(( + 3 , \infty )\), Range: \(( - \infty , \infty )\)

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