Graph each rational function. ƒ(x)=5x/(x²-1)

Graph each rational function. See Examples 5–9.

$\text{ƒ}\left(x\right)=\left[\right(x+6\left)\right(x-2\left)\right]/\left[\right(x+3\left)\right(x-4\left)\right]$

Graph each rational function. ƒ(x)=[(x+3)(x-5)]/[(x+1)(x-4)]

Graph each rational function. ƒ(x)=(x²+8x+16)/(x²+4x-5)

Graph each rational function. ƒ(x)=(20+6x-2x²)/(8+6x-2x²)

Graph each rational function. ƒ(x)=(18+6x-4x²)/(4+6x+2x²)

Provide a short answer to each question. What is the domain of the function $\text{ƒ}\left(x\right)=\frac{1}{x^2}$? What is its range?

Graph each rational function. ƒ(x)=(9x²-1)/(x²-4)