Determine the domain of the function $f ( x ) = \frac { x ^ { 2 } - 25 } { x ^ { 2 } + x - 20 }$ .
A)Domain: all real numbers except x = 5 and -4
B)Domain: all real numbers except x = -5 and -4
C)Domain: all real numbers except x = -5 and 4
D)Domain: all real numbers except x = -4
E)Domain: all real numbers

Question

Quizplus · Accepted Answer

The domain of a rational function is all real numbers except where the denominator is zero. Solving $x^2 + x - 20 = 0$ gives $x = -5$ and $x = 4$, so these values are excluded from the domain.

Determine the Domain of the Function f(x)=x2−25x2+x−20f ( x ) = \frac { x ^ { 2 } - 25 } { x ^ { 2 } + x - 20 }f(x)=x2+x−20x2−25​

Determine the Domain of the Function $f ( x ) = \frac { x ^ { 2 } - 25 } { x ^ { 2 } + x - 20 }$