Determine whether f is continuous at c.
-$$f ( x ) = \frac { x + 6 } { ( x - 2 ) ( x - 3 ) } ; c = - 6$$
A) not continuous
B) continuous

Question

Quizplus · Accepted Answer

The function $f(x) = \frac{x + 6}{(x - 2)(x - 3)}$ is a rational function, which is continuous everywhere in its domain. The value $c = -6$ is within the domain of $f$, since it does not make the denominator zero. Therefore, $f$ is continuous at $c = -6$.

Determine Whether F Is Continuous at C f(x)=x+6(x−2)(x−3);c=−6f ( x ) = \frac { x + 6 } { ( x - 2 ) ( x - 3 ) } ; c = - 6f(x)=(x−2)(x−3)x+6​;c=−6

Determine Whether F Is Continuous at C $f ( x ) = \frac { x + 6 } { ( x - 2 ) ( x - 3 ) } ; c = - 6$