Find the domain of the rational function.
-$$f ( x ) = \frac { x + 7 } { x ^ { 2 } - 1 }$$
A) $\{ x \mid x \neq - 1 , x \neq 1 , x \neq - 7 \}$
B) all real numbers
C) $\{ x \mid x \neq 0 , x \neq 1 \}$
D) $\{ x \mid x \neq - 1 , x \neq 1 \}$

Question

Quizplus · Accepted Answer

The domain of a rational function excludes values that make the denominator zero. For $f(x) = \frac{x + 7}{x^2 - 1}$, the denominator $x^2 - 1 = (x - 1)(x + 1)$ is zero when $x = 1$ or $x = -1$, so these values are excluded from the domain.

Find the Domain of the Rational Function f(x)=x+7x2−1f ( x ) = \frac { x + 7 } { x ^ { 2 } - 1 }f(x)=x2−1x+7​

Find the Domain of the Rational Function $f ( x ) = \frac { x + 7 } { x ^ { 2 } - 1 }$