Home
Class 12
MATHS
If f(x)=(4x+3)/(6x-4),\ x\ !=2/3, show t...

If `f(x)=(4x+3)/(6x-4),\ x\ !=2/3,` show that `fof(x)=x` for all `x!=2/3dot` What is the inverse of `f?`

Text Solution

Verified by Experts

The correct Answer is:
`f^(-1)=f`
Doubtnut Promotions Banner Mobile Dark
|

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

If f(x)=(4x+3)/(6x-4),x!=(2)/(3), show that fof (x)=x for all x!=(2)/(3). What is the inverse of f?

f(x)=(4x+3)/(6x-4);x!=(2)/(3) Show that fof(x)=x for all x except x=(2)/(3)

Knowledge Check

  • If f(x) =((4x+3))/((6x+4)), x ne (2)/(3) " then " (f o f) (x) = ?

    A
    `x`
    B
    `(2x-3)`
    C
    `(4x-6)/(3x+4)`
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    If f(x)=(2x+3)/(3x-2),xne(2)/(3) , then find fof (x).

    If f(x)=(3x+2)/(4x-3) show that f(x)=f^(-1)(x)

    If f(x)=(3x-2)/(2x-3), prove that f(f(x)))=x for all x in R-{(3)/(2)}

    If f:R-{2/3}rarr R defined by f(x)=(4x+3)/(6x-4) show that f(f(x))=x

    f(x)={(x^(2)-x-6)/(x-3); if x!=35ifx=3 show that f(x) is continuous at x=3

    If f(x)=1/(2x+1),\ x!=-1/2,\ then show that f(f(x))=(2x+1)/(2x+3) , provided that x!=-3/2dot

    f(x)=x^(3)-6x^(2)+2x-4,g(x)=1-2x

    Home
    Profile