Determine the domain of the given function. $$f ( x ) = \frac { x ^ { 2 } - 1 } { x + 3 }$$
A) all real numbers x except x = 1, x = -1, and x = -3
B) all real numbers x
C) all real numbers x except x = -3
D) all real numbers x except x = 1 and x = 4

Question

Quizplus · Accepted Answer

The domain of the function $\frac{x^2 - 1}{x + 3}$ includes all real numbers except those that make the denominator zero. Since the denominator is $x + 3$, the function is undefined when $x = -3$. The numerator $x^2 - 1$ does not restrict the domain because it can take any real number value. Therefore, the correct domain is all real numbers except $x = -3$.

Determine the Domain of the Given Function f(x)=x2−1x+3f ( x ) = \frac { x ^ { 2 } - 1 } { x + 3 }f(x)=x+3x2−1​

Determine the Domain of the Given Function $f ( x ) = \frac { x ^ { 2 } - 1 } { x + 3 }$