Home
Class 12
MATHS
Let f : A to B be a function defined as ...

Let `f : A to B` be a function defined as `f(x)=(2x+3)/(x-3)`, where A=R-{3} and B=R-{2}. Is the function f one-one and onto ? Is f invertible ? If yes, then find its inverse.

Text Solution

Verified by Experts

The correct Answer is:
`x inR-{2}`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise FREQUENTLY ASKED QUESTIONS|15 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTIONS FROM NCERT EXEMPLAR|5 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

Let f:R to R be a function defined b f(x)=cos(5x+2). Then,f is

Let f:R to R be a function defined by f(x)=(x^(2)-8)/(x^(2)+2) . Then f is

Let f : R to R be a function defined as f(x) = {((b + 2)x-11c, x 2):} then f(x)is:

Let f:R to R be the function defined by f(x)=2x-3, AA x in R. Write f^(-1).

Let f:R rarr R be a function defined by f(x)=(x^(2)-3x+4)/(x^(2)+3x+4) then fis-

Show that the function f(x)=3x+2 is one one and onto

Let f:R rarr R be a function defined by f(x)=x^(3)+x^(2)+3x+sin x. Then f is

Let f : R − { − 3, 5 } → R be a function defined as f ( x ) = (2x)/(5x+3) . Write f^(−1)

Let f:R rarr R be the function defined by f(x)=x^(3)+5 then f^(-1)(x) is

Let f: R-{-3/5}->R be a function defined as f(x)=(2x)/(5x+3) . Write f^(-1) : Range of f->R-{-3/5} .