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# Identify the asymptotes, domain, and range of the function.$f ( x ) = \frac { 3 } { x + 2 } + 1$

Solution

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Remember that for $g(x)=\dfrac{a\cdot x+b}{c\cdot x+d}$:

-Vertical asymptote is $x= -\tfrac{d}{c}$;

-Horizontal asymptote is $y= \tfrac{a}{c}$;

-Domain is $\{ x | x\neq -\tfrac{d}{c} \}$;

-Range is $\{ y | y\neq \tfrac{a}{c} \}$.

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