## Related questions with answers

Question

In the following exercise, find the value(s) of k that makes the function continuous over the given interval.

$f(x)=\left\{\begin{aligned} \frac{x^{2}+3 x+2}{x+2}, & x \neq-2 \\ k, & x=-2 \end{aligned}\right.$

Solution

VerifiedStep 1

1 of 5The function is already continous for $x\neq -2$, since it is equal to a continous rational function $\frac{x^2+3x+2}{x+2}$ on that interval. Now we only have to make $f(x)$ continous at $-2$.

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