Find the zeros (if any) of the rational function.
$f ( x ) = 1 + \frac { 6 } { x ^ { 2 } - 7 }$
A)±7
B)±6
C)6
D)±1
E) 7

Name: Find the zeros (if any) of the rational function. $f ( x ) = 1 + \frac { 6 } { x ^ { 2 } - 7 }$ A)±7 B)±6 C)6 D)±1 E) 7
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Question

Find the zeros (if any) of the rational function. 
 $f ( x ) = 1 + \frac { 6 } { x ^ { 2 } - 7 }$  
A)±7
B)±6
C)6
D)±1
E) 7

Quizplus · Accepted Answer

To find the zeros of the function, set $f(x) = 0$: $1 + \frac{6}{x^2 - 7} = 0$. Solving gives $\frac{6}{x^2 - 7} = -1$, leading to $x^2 - 7 = -6$, so $x^2 = 1$. Thus, $x = ±1$.

Find the Zeros (If Any) of the Rational Function f(x)=1+6x2−7f ( x ) = 1 + \frac { 6 } { x ^ { 2 } - 7 }f(x)=1+x2−76​

Find the Zeros (If Any) of the Rational Function $f ( x ) = 1 + \frac { 6 } { x ^ { 2 } - 7 }$