Let the Function $f$ Be Defined by the Equation $y = f ( x )$

question 84

Multiple Choice

Let the function $f$ be defined by the equation $y = f ( x )$ , where $x$ and $f ( x )$ are real numbers.Find the domain of the function $f ( x ) = \sqrt { 6 x ^ { 2 } + 16 }$

• A) domain: \(\left( - \infty , - \frac { 16 } { 36 } \right) \cup \left( \frac { 16 } { 36 } , + \infty \right)\)
• B) domain: \(\left( - \infty , - \frac { \sqrt { 16 } } { 6 } \right)\)
• C) domain: \(\left( \frac { 16 } { 36 } , + \infty \right)\)
• D) domain: \(\left( - \frac { \sqrt { 16 } } { 6 } , \frac { \sqrt { 16 } } { 6 } \right)\)
• E) domain: \(\left( - \infty , - \frac { \sqrt { 16 } } { 6 } \right] \cup \left[ \frac { \sqrt { 16 } } { 6 } , + \infty \right)\)

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