N2014 P1 Q1

N2014 P1 Q1

Junior College 2
5 marks

The function \(f\) is defined by \[f:x\mapsto\frac1{1-x},\quad x\in\mathbb R,\quad x\ne1,\quad x\ne0.\]

  1. Show that \(f^2(x)=f^{-1}(x)\).[4]
  2. Find \(f^3(x)\), giving your answer in its simplest form.[1]

Solution:

Solution locked

Sign in to view the step-by-step solution

Finding similar questions...
Answer:(i) \(f^2(x)=f^{-1}(x)=\frac{x-1}{x}\) (shown). (ii) \(f^3(x)=x\).

Need help? Join our JC Math tuition classes.

Learn more