Let the Function F Be Defined by the Equation Y $f ( x ) = \sqrt { 25 x ^ { 2 } - 3 }$

question 14

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 and range of the function $f ( x ) = \sqrt { 25 x ^ { 2 } - 3 }$ .

• A)domain: \(\left( - \infty , - \frac { 3 } { 25 } \right)\)
• B)domain: \(\left( - \frac { 3 } { 5 } , \frac { 3 } { 5 } \right)\)
• C)domain: \(\left( - \infty , - \frac { 3 } { 25 } \right] \cup \left[ \frac { 3 } { 25 } , + \infty \right)\)
• D)domain: \(\left( \frac { \sqrt { 3 } } { 5 } , + \infty \right)\)
• E)domain: \(\left( - \infty , - \frac { \sqrt { 3 } } { 5 } \right] \cup \left[ \frac { \sqrt { 3 } } { 5 } , + \infty \right)\)

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