Home
Class 12
MATHS
Let f : W rarr W be defined as f (x) = x...

Let f : W `rarr` W be defined as f (x) = x -1 if x is odd and f(x) = x +1 if x is even then show that f is invertible. Find the inverse of f where W is the set of all whole numbers.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    ARIHANT PUBLICATION|Exercise PART V : Question for Practice Part V ( Very Short Answer Type Questions) |6 Videos
  • RELATIONS AND FUNCTIONS

    ARIHANT PUBLICATION|Exercise PART V : Question for Practice Part V ( Short Answer Type Questions) |7 Videos
  • RELATIONS AND FUNCTIONS

    ARIHANT PUBLICATION|Exercise PART IV : Question for Practice Part IV ( Short Answer Type Questions) |2 Videos
  • QUESTION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|13 Videos
  • SAMPLE PAPER 1

    ARIHANT PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|13 Videos

Similar Questions

Explore conceptually related problems

Let f : N rarr Y be a function defined as f(x) = 4x +3, where Y = {Y in N: y = 4x +3 for some x in N). Show that f is invertible. Find the inverse.

If f:RrarrR defined by f(x)=5x-8 for all x inR , then show that f is invertible. Find the corresponding inverse function.

Let f:RrightarrowR be defined as f(x)=3x . Then f is one-one and onto

Show that f:R to R defined as f(x)= 4x+3 is invertible. Find the inverse of 'f' .

If f: R rarr R is defined by f(x) = 3x + 2 define f (f (x))

Let f ,g: R rarr R be two functions defined as f(x) = |x| +x and g(x) = |x| -x AA x in R. Then find fog and gof .