Determine the zeros (if any) of the rational function $g ( x ) = 7 + \frac { 3 } { x ^ { 2 } + 7 }$.
A) $x = - \sqrt { 7 } , x = \sqrt { 7 }$
B) $x = - 3$
C) $x = - \frac { 3 } { 7 } , x = \frac { 3 } { 7 }$
D) $x = - 7 , x = 7$
E) no zeros

Question

Quizplus · Accepted Answer

A rational function can only have zeros in the numerator, not in the denominator. Since the denominator of this function, $x^2+7$, is always positive, the function cannot be equal to zero. Therefore, the answer is E, no zeros.

Determine the Zeros (If Any) of the Rational Function g(x)=7+3x2+7g ( x ) = 7 + \frac { 3 } { x ^ { 2 } + 7 }g(x)=7+x2+73​

Determine the Zeros (If Any) of the Rational Function $g ( x ) = 7 + \frac { 3 } { x ^ { 2 } + 7 }$