Determine whether f is continuous at c.
-$$f ( x ) = \frac { x ^ { 2 } - 36 } { x - 6 } ; \quad c = 6$$
A) continuous
B) not continuous

Question

Quizplus · Accepted Answer

The function $f(x) = \frac{x^2 - 36}{x - 6}$ simplifies to $f(x) = \frac{(x + 6)(x - 6)}{x - 6}$, which further simplifies to $f(x) = x + 6$ for all $x$ except $x = 6$, where the function is undefined due to division by zero. Thus, $f$ is not continuous at $c = 6$.

Determine Whether F Is Continuous at C f(x)=x2−36x−6;c=6f ( x ) = \frac { x ^ { 2 } - 36 } { x - 6 } ; \quad c = 6f(x)=x−6x2−36​;c=6

Determine Whether F Is Continuous at C $f ( x ) = \frac { x ^ { 2 } - 36 } { x - 6 } ; \quad c = 6$