Home
Class 12
MATHS
If f(x)=ax+b and the equation f(x)=f^(-1...

If f(x)=ax+b and the equation `f(x)=f^(-1)(x)` be satisfied by every real value of x, then

A

a=2, b=-1

B

`a=-1,b in R`

C

`a=1, b in R`

D

a=1, b=-1

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 1|5 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 2|6 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos
  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

If f (x) =x^3-1/x^3 , find the value of f (x) +f (1/x) .

If f (x) satisfies the relation : 2 f(x) +f (1 -x) = x^2 for all real x, then f (x) is :

If f(x)=sin(3x)/sin x,x!=npi , then the range of values of f(x) for real values of x is

If f(x) satisfies the relation f(x)+f(x+4)=f(x+2)+f(x+6) for all x , then prove that f(x) is periodic and find its period.

If f(X) = (ax-b)/(bx-a) , show that f(f(x)) = x

Let f(x) be a polynominal with real coefficients such that xf(x)=f'(x) times f''(x). If f(x)=0 is satisfied x=1,2,3 only, then the value of f'(1)f'(2)f'(3) is

Let y=f(x) be a differentiable function such that f(−1)=2,f(2)=−1 and f(5)=3 If the equation f (x)=2f(x) has real root. Then find f(x)

Let f:R->R be a function satisfying f((x y)/2)=(f(x)*f(y))/2,AAx , y in R and f(1)=f'(1)=!=0. Then, f(x)+f(1-x) is (for all non-zero real values of x ) a.) constant b.) can't be discussed c.) x d.) 1/x

Suppose f(x)=e^(ax)+e^(bx), where aneb and f''(x)-2f'(x)-15f(x)=0 for all x, then the value of |a+b| is equal to......

Suppose f(x)= {(a+bx,x 1):} and if lim_(x rarr 1)f(x)=f(1) what are possible values of a and b ?