Determine whether f is continuous at c.
-$$f ( x ) = \frac { x - 2 } { ( x + 9 ) ( x + 8 ) } ; c = - 9$$
A) not continuous
B) continuous

Name: Determine whether f is continuous at c. -\[f ( x ) = \frac { x - 2 } { ( x + 9 ) ( x + 8 ) } ; c = - 9\] A) not continuous B) continuous
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Question

Quizplus · Accepted Answer

The function $f(x) = \frac{x - 2}{(x + 9)(x + 8)}$ is not continuous at $c = -9$ because the denominator becomes zero at $x = -9$, causing a division by zero which is undefined.

Determine Whether F Is Continuous at C f(x)=x−2(x+9)(x+8);c=−9f ( x ) = \frac { x - 2 } { ( x + 9 ) ( x + 8 ) } ; c = - 9f(x)=(x+9)(x+8)x−2​;c=−9

Determine Whether F Is Continuous at C $f ( x ) = \frac { x - 2 } { ( x + 9 ) ( x + 8 ) } ; c = - 9$