Rational Functions, Expressions, and Equations

At each of the following values of $$x$$ , select whether $$f$$ has a zero, a vertical asymptote, or a removable discontinuity.

At each of the following values of $$x$$ , select whether $$f$$ has a zero, a vertical asymptote, or a removable discontinuity.

At each of the following values of $$x$$ , select whether $$f$$ has a zero, a vertical asymptote, or a removable discontinuity.

At each of the following values of $$x$$ , select whether $$h$$ has a zero, a vertical asymptote, or a removable discontinuity.

At each of the following values of $$x$$ , select whether $$q$$ has a zero, a vertical asymptote, or a removable discontinuity.

Simplify the rational expression to lowest terms:

  $$\frac{x^2+11x+24}{x^2+4x-32}$$  

Solve for  $$x$$  .

   $$\frac{5}{3}-\frac{2}{x}=\frac{8}{x}$$  

Solve for  $$x$$  .

  $$\frac{1}{x}=\frac{1}{5x}-\frac{x-1}{5x}$$

Solve for  $$x$$  .

  $$\frac{6x+18}{x^2}+\frac{1}{x}=\frac{3}{x}$$  

Solve for  $$x$$  .

$$\frac{9}{3x}=-\frac{6}{2}$$