Find the zeros (if any)of the rational function. $$f ( x ) = 2 + \frac { 12 } { x ^ { 2 } + 2 }$$
A)-2
B)2
C)8
D)-8
E)None

Name: Find the zeros (if any)of the rational function. \[f ( x ) = 2 + \frac { 12 } { x ^ { 2 } + 2 }\] A)-2 B)2 C)8 D)-8 E)None
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Question

Find the zeros (if any)of the rational function.​ $$f ( x ) = 2 + \frac { 12 } { x ^ { 2 } + 2 }$$ ​
A)-2
B)2
C)8
D)-8
E)None

Quizplus · Accepted Answer

The zeros of a rational function occur where the numerator is zero. Since the numerator of this function is a constant (2) and does not depend on $x$, it cannot be zero. Therefore, the function has no zeros.

Find the Zeros (If Any)of the Rational Function f(x)=2+12x2+2f ( x ) = 2 + \frac { 12 } { x ^ { 2 } + 2 }f(x)=2+x2+212​

Find the Zeros (If Any)of the Rational Function $f ( x ) = 2 + \frac { 12 } { x ^ { 2 } + 2 }$