Find the domain of the rational function.
-$$r ( x ) = \frac { x ^ { 2 } - 11 x + 28 } { x ^ { 2 } - 7 x }$$
A) All real numbers except 0 and 7 .
B) All real numbers except 0 and $- 7$.
C) All real numbers except $- 7$ and 7 .
D) All real numbers except 0 .

Question

Quizplus · Accepted Answer

The domain of a rational function is all real numbers except where the denominator equals zero. For the given function, setting the denominator equal to zero gives $x^2 - 7x = 0$, which factors to $x(x - 7) = 0$. This yields $x = 0$ and $x = 7$ as the values that make the denominator zero. Therefore, the domain is all real numbers except 0 and 7.

Find the Domain of the Rational Function r(x)=x2−11x+28x2−7xr ( x ) = \frac { x ^ { 2 } - 11 x + 28 } { x ^ { 2 } - 7 x }r(x)=x2−7xx2−11x+28​

Find the Domain of the Rational Function $r ( x ) = \frac { x ^ { 2 } - 11 x + 28 } { x ^ { 2 } - 7 x }$