Home
Class 12
MATHS
Show that the function f in A=|R-{2/3}\ ...

Show that the function `f` in `A=|R-{2/3}\ ` defined as `f(x)=(4x+3)/(6x-4)` is one-one and onto. Hence find `f^(-1)dot`

Text Solution

Verified by Experts

The correct Answer is:
`f^(-1)=f`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE 1 (e) (Short Answer Type Questions)|25 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE 1 (e) (Long Answer Type Questions (I))|8 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE 1 (d) (Short Answer Type Questions)|8 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise MOCK TEST SECTION D|6 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

show that the function f in A=R-{(2)/(3)} defined as f(x)=(4x+3)/(6x-4) is one one and onto. Hence find f^(-1)

show that the function f on A =R -{(-4)/(3)} onto itself defined by f(x)= (4x)/((3x+4) is one-one and onto. Hence find f^(-1)

Show that function f:R rarr{x in R:-1

Let A=R-{3} and B=R-[1]. Consider the function f:A rarr B defined by f(x)=((x-2)/(x-3)). Show that f is one-one and onto and hence find f^(-1)

Show that the function f:R rarr R defined as f(x)=x^(2) is neither one-one nor onto.

Show that the function f : R rarr R defined by f(x) = cos (5x+3) is neither one-one not onto.

Let A=R-{2} and B=R-{1} if f:A rarr B is a function defined by f(x)=(x-1)/(x-2) show that f is one-one and onto. Hence find f^(-1) .

The function f:R rarr R defined as f(x)=(3x^(2)+3x-4)/(3+3x-4x^(2)) is :

Examine the function f:R rarr R be defined by f(x)=3-4x is one one,onto and one one onto.