In Exercises 57–80, follow the seven steps to graph each rational function. f(x)=(x²+x−12)/(x²−4)

Use long division to rewrite the equation for g in the form quotient + remainder/divisor. Then use this form of the function's equation and transformations of f(x) = 1/x to graph g. g(x)=(3x−7)/(x−2)

Use transformations of f(x) = (1/x) or f(x) = (1/x²) to graph each rational function. g(x) = 1/(x + 2)² - 1

Graph the rational function using transformations.

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

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. ƒ(x)=(3x²+3x-6)/(x²-x-12)

Graph each rational function. See Examples 5–9.

$\text{ƒ}\left(x\right)=x/(4-x^2)$