Determine the domain of the given function. $$f ( x ) = \frac { x ^ { 2 } - 25 } { x + 2 }$$
A) all real numbers x
B) all real numbers x except x = -2
C) all real numbers x except x = 5 and x = 8
D) all real numbers x except x = 5, x = -5, and x = -2

Question

Quizplus · Accepted Answer

The domain of the function $\frac{x^2 - 25}{x + 2}$ includes all real numbers except those that make the denominator zero. Since the denominator is $x + 2$, the function is undefined at $x = -2$. The numerator $x^2 - 25 = (x + 5)(x - 5)$ does not affect the domain because the values $x = 5$ and $x = -5$ do not make the denominator zero.

Determine the Domain of the Given Function f(x)=x2−25x+2f ( x ) = \frac { x ^ { 2 } - 25 } { x + 2 }f(x)=x+2x2−25​

Determine the Domain of the Given Function $f ( x ) = \frac { x ^ { 2 } - 25 } { x + 2 }$