Dividing functions

Everything You Need in One Place

Homework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered.

Learn and Practice With Ease

Our proven video lessons ease you through problems quickly, and you get tonnes of friendly practice on questions that trip students up on tests and finals.

Instant and Unlimited Help

Our personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now!

Get the most by viewing this topic in your current grade. Pick your course now.

  1. Determine the Quotient of Two Functions and State Its Domain
    Write an expression in the simplest form for (fg)(x)(\frac{f}{g})(x)
    State the domain restrictions
    1. f(x)=3x8 f(x)=3x-8
    2. f(x)=4x3+5x2 f(x)=4x^3+5x^2
    3. f(x)=2x2+4x30 f(x)=2x^2+4x-30
    4. f(x)=x3f(x)=x-3
  2. Operations of Functions – In a Nutshell
    Consider the functions f(x)=xx+5f(x)=\frac{x}{x+5}
    and g(x)=3xx2g(x)=\frac{3x}{x-2}
    1. state the domain of f(x) f(x)
      and g(x)g(x)
    2. write an expression in the simplest form for each
      of the following and state the domains
      i) (f+g)(x)(f+g)(x)
      ii) (fg)(x)(f-g)(x)
      iii) (fg)(x)(fg)(x)
      iv) (fg)(x)(\frac{f}{g})(x)
    3. evaluate (fg)(4)(\frac{f}{g})(4)
      in 2 different ways
  3. Sketch the Quotient of Two Functions
    Consider the functions f(x)=2x2+4x30f(x)=2x^2+4x-30
    1. Determine the equation of the function
      h(x)=(gf)(x)h(x)=(\frac{g}{f})(x) and state the domain restrictions
    2. Sketch the graph of
Topic Notes
Dividing functions: (fg)(x)=f(x)g(x)(\frac{f}{g})(x)=\frac{f(x)}{g(x)}