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

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: $\left( - \infty , - \frac { \sqrt { 3 } } { 5 } \right] \cup \left[ \frac { \sqrt { 3 } } { 5 } , + \infty \right)$