Home
Class 12
MATHS
Show that f: [-1, 1], given by f(x)= x/(...

Show that f: [-1, 1], given by `f(x)= x/(x+2)` is one-one. Find the inverse of `[-1,1] rarr R_f`

Text Solution

Verified by Experts

The correct Answer is:
`(2x)/(1-x)`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE) (SECTION VI) |15 Videos

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS )|8 Videos

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE) (SECTION IV) |15 Videos

  • PROBABILITY

    BETTER CHOICE PUBLICATION|Exercise Previous year Board.s questions for practice|43 Videos

  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE |60 Videos

Similar Questions

Explore conceptually related problems

Show that f: [ -1, 1] rarr R , given by f(x)= (x)/(x+2) is one-one. Find the inverse of the function f: [-1,1] rarr Range f.

Show that the function f:N rarr N given by f(x) = 4x is one-one, but not onto.

Show that the function f:N rarr N given by f(x) = 5x is one-one but not onto.

Show that function f: Rrarr R given by f(x) = x^2 is neither one-one nor onto.

Prove that the function f: R rarr R given by: f(x) = 2x is one-one and onto.

Consider f:R^(+) rarr [-5, oo] given by f (x) = 9x^(2) + 6x - 5 show that 'f' is invertible. Find the inverse of f .

Show that function f :R→R, f(x)=(2x+5)/8 is invertible. Also find inverse of f.

The function f:R rarr R given by f(x) = 4x + 3. Show that f is invertible. Find the inverse of 'f'.

Consider f : R → R given by f(x) = 4x + 3 . Show that f is invertible. Find the inverse of f.