Find the domain of the rational function.
-$$f ( x ) = \frac { x + 8 } { x ^ { 2 } + 25 }$$
A) all real numbers
B) $\{ x \mid x \neq - 5 , x \neq 5 \}$
C) $\{ x \mid x \neq 0 , x \neq - 25 \}$
D) $\{ x \mid x \neq - 5 , x \neq 5 , x \neq - 8 \}$

Question

Quizplus · Accepted Answer

The denominator $x^2 + 25$ is always positive for all real x, because squaring any real number gives a non-negative result and adding 25 ensures the sum is always positive. There are no values of x that make the denominator zero, so the domain is all real numbers.

Find the Domain of the Rational Function f(x)=x+8x2+25f ( x ) = \frac { x + 8 } { x ^ { 2 } + 25 }f(x)=x2+25x+8​

Find the Domain of the Rational Function $f ( x ) = \frac { x + 8 } { x ^ { 2 } + 25 }$