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 at all points in its domain. The denominator is zero at $x = 2$ and $x = 3$, but since $c = -6$ does not cause the denominator to be zero, the function 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 $f ( x ) = \frac { x + 6 } { ( x - 2 ) ( x - 3 ) } ; c = - 6$