Determine the Domain of the Function $g ( x ) = \frac { x + 6 } { x ^ { 2 } + 49 }$

question 13

Multiple Choice

Determine the domain of the function.
- $g ( x ) = \frac { x + 6 } { x ^ { 2 } + 49 }$

• A) \(\{ x \mid x \neq - 7 \text { and } x \neq 7 \}\)
• B) \(\{ x \mid x \text { is a real number } \}\)
• C) \(\{ x \mid x \neq - 7 , x \neq 7 \text {, and } x \neq - 6 \}\)
• D) \(\{ x \mid x \neq 0 \text { and } x \neq - 49 \}\)

Understand the process of solving quadratic equations by completing the square.

Solve quadratic equations using the quadratic formula.

Analyze investment problems involving exponential growth.

Determine the nature of solutions using the discriminant.

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