Determine the Equation of the Horizontal Asymptote for the Graph $$f ( x ) = \log _ { 5 } ( x + 1 ) + 3$$

question 61

Multiple Choice

Determine the equation of the horizontal asymptote for the graph of this function, and state the domain and range of
this function.
- $$f ( x ) = \log _ { 5 } ( x + 1 ) + 3$$

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

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