Find the domain of the function $f ( x ) = \frac { 6 x ^ { 2 } } { x ^ { 2 } - 25 }$ .
A)Domain: all real numbers x except x = 5
B)Domain: all real numbers x except x = ±25
C)Domain: all real numbers x except x = ±6
D)Domain: all real numbers x except x = -5
E)Domain: all real numbers x except x = ±5

Question

Find the domain of the function $f ( x ) = \frac { 6 x ^ { 2 } } { x ^ { 2 } - 25 }$ .  
A)Domain: all real numbers x except x =  5
B)Domain: all real numbers x except x =  ±25
C)Domain: all real numbers x except x = ±6
D)Domain: all real numbers x except x =  -5
E)Domain: all real numbers x except x =  ±5

Quizplus · Accepted Answer

The domain of the function is all real numbers except those that make the denominator zero. The denominator $x^2 - 25$ becomes zero when $x^2 = 25$, which happens at $x = 5$ and $x = -5$. Therefore, the domain excludes $x = ±5$.

Find the Domain of the Function f(x)=6x2x2−25f ( x ) = \frac { 6 x ^ { 2 } } { x ^ { 2 } - 25 }f(x)=x2−256x2​

Find the Domain of the Function $f ( x ) = \frac { 6 x ^ { 2 } } { x ^ { 2 } - 25 }$