Find any numbers for which the rational expression is undefined.
-$\frac { x ^ { 3 } + 4 x ^ { 4 } } { x ^ { 2 } + 9 }$
A)x = 0, x = $- \frac { 1 } { 4 }$
B)x = -3
C)x = -9
D)none

Question

Find any numbers for which the rational expression is undefined.
-$\frac { x ^ { 3 } + 4 x ^ { 4 } } { x ^ { 2 } + 9 }$
A)x = 0, x =   $- \frac { 1 } { 4 }$
B)x = -3
C)x = -9
D)none

Quizplus · Accepted Answer

A rational expression is undefined when its denominator is equal to zero. For the given expression, the denominator is $x^2 + 9$. Since $x^2$ is always non-negative, $x^2 + 9$ is always positive for all real numbers x, and thus, the expression is never undefined for any real number x.

Find Any Numbers for Which the Rational Expression Is Undefined x3+4x4x2+9\frac { x ^ { 3 } + 4 x ^ { 4 } } { x ^ { 2 } + 9 }x2+9x3+4x4​

Find Any Numbers for Which the Rational Expression Is Undefined $\frac { x ^ { 3 } + 4 x ^ { 4 } } { x ^ { 2 } + 9 }$