Determine the zeros (if any)of the rational function $g ( x ) = 5 + \frac { 4 } { x ^ { 2 } + 5 }$ .
A) $x = - \sqrt { 5 } , x = \sqrt { 5 }$
B)x = -4
C) $x = - \frac { 4 } { 5 } , x = \frac { 4 } { 5 }$
D)x = -5,x = 5
E)no zeros

Question

Quizplus · Accepted Answer

The zeros of a rational function are found by setting the numerator equal to zero. In this case, the numerator is a constant (5), which does not depend on x, meaning the function does not have any zeros.

Determine the Zeros (If Any)of the Rational Function g(x)=5+4x2+5g ( x ) = 5 + \frac { 4 } { x ^ { 2 } + 5 }g(x)=5+x2+54​

Determine the Zeros (If Any)of the Rational Function $g ( x ) = 5 + \frac { 4 } { x ^ { 2 } + 5 }$