Home
Class 12
MATHS
Show that the function y=k/x (k ne 0) is...

Show that the function `y=k/x (k ne 0)` is inverse to itself.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION OF MATHEMATICAL ANALYSIS

    IA MARON|Exercise Graphical Representation of Functions|4 Videos

  • INTRODUCTION OF MATHEMATICAL ANALYSIS

    IA MARON|Exercise Number Sequences. Limit of a Sequence|9 Videos

  • INTRODUCTION OF MATHEMATICAL ANALYSIS

    IA MARON|Exercise Investigation of Functions|15 Videos

  • INDEFINITE INTEGRALS, BASIC METHODS OF INTEGRATION

    IA MARON|Exercise 4.4. Reduction Formulas|2 Videos

  • THE DEFINITE INTEGRAL

    IA MARON|Exercise 6 . 8 (Additional Problems)|3 Videos

Similar Questions

Explore conceptually related problems

Which of the following functions is inverse of itself?

The value of parameter alpha, for which the function f(x)=1+alpha x,alpha!=0 is the inverse of itself

If y = f(x) is a derivable function of x such that the inverse function x = f^(-1)(y) is defined, then show that (dx)/(dy)=(1)/((dy//dx)) , where (dy)/(dx) ne 0 .

Show that f:R-[0]rarr R0[0] given by f(x)=(3)/(x) is invertible and it is inverse of itself.

Find the value of k, such that the function f(x) = {(k(x^2-2x), if x = 0):} at x=0 is continuous.

Show that the inverse of the function f(x)=(1-x)/(1+x), where xne-1, is itself