Find the domain of the following function $$f ( x ) = \frac { x ^ { 2 } } { x ^ { 2 } + 36 }$$
A)all real numbers x except x = 36
B)all real numbers x
C)all real numbers x except x = 0
D)all real numbers x except x = 6
E)all real numbers x except x = -1

Question

Find the domain of the following function​ $$f ( x ) = \frac { x ^ { 2 } } { x ^ { 2 } + 36 }$$ ​
A)all real numbers x except x = 36
B)all real numbers x
C)all real numbers x except x = 0
D)all real numbers x except x = 6
E)all real numbers x except x = -1

Quizplus · Accepted Answer

The denominator $x^2 + 36$ is never zero for any real number x because $x^2$ is always non-negative, and adding 36 ensures the denominator is always positive. Therefore, the function is defined for all real numbers.

Find the Domain of the Following Function​ f(x)=x2x2+36f ( x ) = \frac { x ^ { 2 } } { x ^ { 2 } + 36 }f(x)=x2+36x2​

Find the Domain of the Following Function $f ( x ) = \frac { x ^ { 2 } } { x ^ { 2 } + 36 }$