Find domain of the following function. $g ( x ) = \frac { x ^ { 2 } - 49 } { x ^ { 2 } - 6 x - 7 }$
A)all real numbers x except x = -49 and x = -1
B)all real numbers x except x = -6 and x = 7
C)all real numbers x except x = 6 and x = 49
D)all real numbers x except x = 7 and x = -1
E)all real numbers x except x = -7 and x = 1

Question

Find domain of the following function. $g ( x ) = \frac { x ^ { 2 } - 49 } { x ^ { 2 } - 6 x - 7 }$  
A)all real numbers x except x = -49 and x = -1
B)all real numbers x except x = -6 and x =  7
C)all real numbers x except x = 6 and x = 49
D)all real numbers x except x = 7 and x = -1
E)all real numbers x except x = -7 and x = 1

Quizplus · Accepted Answer

The domain of $g(x)$ is all real numbers except those that make the denominator zero. Factoring the denominator $x^2 - 6x - 7$ gives $(x-7)(x+1)$, so the values that make the denominator zero are $x = 7$ and $x = -1$.

Find Domain of the Following Function g(x)=x2−49x2−6x−7g ( x ) = \frac { x ^ { 2 } - 49 } { x ^ { 2 } - 6 x - 7 }g(x)=x2−6x−7x2−49​

Find Domain of the Following Function $g ( x ) = \frac { x ^ { 2 } - 49 } { x ^ { 2 } - 6 x - 7 }$