Find the Domain of the Function and Identify Any Vertical $f ( x ) = \frac { 5 x ^ { 2 } + 8 } { x ^ { 2 } + x + 9 }$

question 189

Multiple Choice

Find the domain of the function and identify any vertical and horizontal asymptotes. $f ( x ) = \frac { 5 x ^ { 2 } + 8 } { x ^ { 2 } + x + 9 }$

• A)Domain: all real numbers x
• Vertical asymptote: No vertical asymptoteHorizontal asymptote: y = 5
• B)Domain: all real numbers except x = 0
• Vertical asymptote: x = 0
• Horizontal asymptote: y = -8
• C)Domain: all real numbers x
• Vertical asymptote: x = -5
• Horizontal asymptote: y = 0
• D)Domain: all real numbers except x = 5
• Vertical asymptote: No vertical asymptote
• Horizontal asymptote: No horizontal asymptote
• E)Domain: all real numbers except x = 9
• Vertical asymptote: x = 5
• Horizontal asymptote: y = 8

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Definitions:

Rate of Return

The gain or loss on an investment over a specific period, expressed as a percentage of the investment's cost.

Nominal Rate

the interest rate before adjustments for inflation, often cited in loan and savings agreements.

Compounded Annually

Interest on a loan or investment is calculated once a year, with each year’s interest added to the principal for the subsequent year’s interest calculation.

Compounded Annually

The process of earning interest on an investment where the accrued interest is added to the principal sum once per year.