Determine whether f is continuous at c.
-$$f ( x ) = \frac { 8 } { x ^ { 2 } + 3 x } ; \quad c = - 8$$
A) continuous
B) not continuous

Name: Determine whether f is continuous at c. -\[f ( x ) = \frac { 8 } { x ^ { 2 } + 3 x } ; \quad c = - 8\] A) continuous B) not continuous
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Question

Quizplus · Accepted Answer

The function $f(x) = \frac{8}{x^2 + 3x}$ is a rational function, which is continuous everywhere its denominator is nonzero. The denominator $x^2 + 3x$ is nonzero for $x = -8$, so $f$ is continuous at $c = -8$.

Determine Whether F Is Continuous at C f(x)=8x2+3x;c=−8f ( x ) = \frac { 8 } { x ^ { 2 } + 3 x } ; \quad c = - 8f(x)=x2+3x8​;c=−8

Determine Whether F Is Continuous at C $f ( x ) = \frac { 8 } { x ^ { 2 } + 3 x } ; \quad c = - 8$