Function Expression :
\[f(x)=\frac{(6x+18 )}{(x+5 )} \]Domain
\[\left]-\infty, -5\right[ \cup \left]-5, \infty\right[ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = 6 \]\[\lim_{x \overset{<}{\rightarrow-5} }f(x) = +\infty \]
\[\lim_{x \overset{>}{\rightarrow-5} }f(x) = -\infty \]
\[\lim_{x \rightarrow+\infty}f(x) = 6 \]
\[ \]
Derivate
\[f^{\,\prime}(x)=\frac{6}{x + 5} - \frac{6 x + 18}{\left(x + 5\right)^{2}} \]\[f^{\,\prime}(x)=\frac{12}{\left(x + 5\right)^{2}} \]
\[ \]
Integral
\[F(x) = 6 x - 12 \log{\left(x + 5 \right)} \]Sign Table
Variation Table
Plot
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