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Chapter 14: Q. 52 (page 889)

In Problems 45-60, determine whether $f$ is continuous at $c$ .
$f (x) = \frac{x^{2} - 6 x}{x^{2} + 6 x} c = 0$

Short Answer

Expert verified

The function is not continuous

Step by step solution

01

Given information

Given function $f (x) = \frac{x^{2} - 6 x}{x^{2} + 6 x}$

02

Check whether the function is defined at c

Checking, we get

$f (0) = \frac{0^{2} - 6 (0)}{0^{2} + 6 (0)}$

It is not defined and there is a hole so it is not continuous

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