Home
Class 11
MATHS
If x!=1\ a n d\ f(x)=(x+1)/(x-1) is a r...

If `x!=1\ a n d\ f(x)=(x+1)/(x-1)` is a real function, then `f(f(f(2)))` is (a) `1` (b) `2` (c) `3` (d) 4

Text Solution

AI Generated Solution

To solve the problem of finding \( f(f(f(2))) \) where \( f(x) = \frac{x+1}{x-1} \) and \( x \neq 1 \), we will proceed step by step. ### Step 1: Calculate \( f(2) \) We start by substituting \( x = 2 \) into the function \( f(x) \). \[ f(2) = \frac{2 + 1}{2 - 1} = \frac{3}{1} = 3 \] ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ELLIPSE

    RD SHARMA|Exercise Solved Examples And Exercises|97 Videos

  • GEOMETRIC PROGRESSIONS

    RD SHARMA|Exercise Solved Examples And Exercises|255 Videos

Similar Questions

Explore conceptually related problems

If f(x)=x^(2) is a real function, find the value of f(1).

If f is a function such that f(0)=2,f(1)=3, and f(x+2)=2f(x)-f(x+1) for every real x, then f(5) is 7 (b) 13 (c) 1 (d) 5

Knowledge Check

  • If x ne 1 and f (x) =(x+1)/(x-1) is a real function, then f (f(f(2))) is

    A
    1
    B
    2
    C
    3
    D
    4

  • For x in R-{0,1}, " let " f_(1)(x)=(1)/(x), f_(2)(x)=1-x and f_(3)(x)=(1)/(1-x) be three given functions. If a function, J(x) satisfies (f_(2) @J@f_(1))(x)=f_(3)(x), " then " J(x) is equal to

    A
    `f_(2)(x)`
    B
    `f_(3)(x)`
    C
    `f_(1)(x)`
    D
    `(1)/(x)f_(3)(x)`

    • Similar Questions

    Explore conceptually related problems

    If f(x+(1)/(2))+f(x-(1)/(2))=f(x) for all x in R then the period of f(x) is 1(b)2(c)3(d)4

    If f(x)=(1)/(1-x), then the set of points discontinuity of the function f(f(f(x))) is {1} (b) {0,1} (c) {-1,1} (d) none of these

    f(x)=(x)/(x-1) then (f(a))/(f(a+1)) is equal to a.f(-a) b.f(1/a) c.f(a^(2)) d.f (-(a)/(a-1))

    If f is a real function defined by f(x)=(x-1)/(x+1), then prove that f(2x)=(3f(x)+1)/(f(x)+3)

    Let f(x)=x+2|x+1|+2|x-1|* If f(x)=k has exactly one real solution,then the value of k is (a) 3 (b) 0(c)1(d)2

    Let (x) is a real function, defines as f(x) =(x-1)/(x+1), then prove that f(2x)=(3f(x)+1)/(f(x)+3).

    Home
    Profile