Graph the rational function using transformations.

$f\(\left\)(x\(\right\))=-\(\frac{1}{x}\)+3$

Graph the rational function using transformations.

$f\(\left\)(x\(\right\))=\(\frac{1}{\left(x+3\right)^2}\)-2$

Graph the rational function.

$f\(\left\)(x\(\right\))=\(\frac{x+3}{x^2+5x+6}\)$

Graph each rational function. ƒ(x)=[(x-5)(x-2)]/(x²+9)

Graph each rational function. See Examples 5–9.

$\text{ƒ}\left(x\right)=x/(4-x^2)$

Graph each rational function. ƒ(x)=(x+2)/(x-3)

Solve each problem. This rational function has two holes and one vertical asymptote.

$\text{ƒ}\left(x\right)=\frac{(x^3+7x^2-25x-175)}{(x^3+3x^2-25x-75)}$

What are the x-values of the holes?

In Exercises 57–64, find the vertical asymptotes, if any, the horizontal asymptote, if one exists, and the slant asymptote, if there is one, of the graph of each rational function. Then graph the rational function. g(x) = (2x - 4)/(x + 3)