Rational Functions and Inequalities Quiz
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Questions and Answers

Which expression represents a rational function?

  • $ rac{x-3}{x+5} ext{ is non-negative}$
  • $ rac{2}{x} = x+0$
  • $f(x) = rac{x+1}{x-3}$ (correct)
  • $ rac{x^{2}-1}{x^{2}+2x+1}$ (correct)
  • What is the solution for x in the equation $ rac{3x+3}{x+4} = rac{x-5}{2}$?

  • x = 7
  • x = 12 (correct)
  • x = 4
  • x = -17
  • Which expression signifies a rational inequality?

  • $y= rac{2}{x+1}$
  • $ rac{1}{3} + rac{1}{x} ext{ is greater than or equal to } 2$ (correct)
  • $f(x) = rac{x}{x+1}$
  • $ rac{1}{3} + rac{1}{2} = rac{x}{x}$
  • What is the domain of the function $f(x) = rac{x+8}{5x-7}$?

    <p>$ ext{All real numbers, except } x eq rac{5}{7}$</p> Signup and view all the answers

    What is the x-intercept of the function $f(x) = rac{x-1}{x+11}$?

    <p>-1</p> Signup and view all the answers

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