Find the Specified Domain and Express It in Interval Notation $f ( x ) = x ^ { 2 } - 81$

Find the specified domain and express it in interval notation.
-For $f ( x ) = x ^ { 2 } - 81$ and $g ( x ) = 2 x + 3$ , what is the domain of $\left( \frac { g } { f } \right) ( x )$ ?

A) $\left[ - \frac { 3 } { 2 } , \infty \right)$
B) All real numbers
C) $\left( - \infty , \frac { 3 } { 2 } \right) \cup \left( - \frac { 3 } { 2 } , \infty \right)$
D) $( - \infty , - 9 ) \cup ( - 9,9 ) \cup ( 9 , \infty )$

Correct Answer:

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