In Exercises 57–80, follow the seven steps to graph each rational function. f(x)=(x−2)/(x²−4)

Solve each problem. Work each of the following. Find an equation for a possible corresponding rational function.

Solve each problem. Work each of the following. Find an equation for a possible corresponding rational function.

Follow the seven steps to graph each rational function. f(x)=x⁴/(x²+2)

In Exercises 89–94, the equation for f is given by the simplified expression that results after performing the indicated operation. Write the equation for f and then graph the function. 5x²/(x²−4) ⋅ (x²+4x+4)/(10x³)

In Exercises 89–94, the equation for f is given by the simplified expression that results after performing the indicated operation. Write the equation for f and then graph the function. x/(2x+6) − 9/(x²−9)

In Exercises 89–94, the equation for f is given by the simplified expression that results after performing the indicated operation. Write the equation for f and then graph the function. (1 − 3/(x+2)) / (1 + 1/(x−2))

Find the domain of each rational function. f(x)=5x/(x−4)