Home
Class 12
MATHS
Let f : R rarr R be defined by f (x) = ...

Let f : R `rarr R ` be defined by f (x) = `(x)/(sqrt(1+x^(2))) AA x in R` . Then find ( fofof ) (x) . Also show that fof `ne f^(2)` .

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    ARIHANT PUBLICATION|Exercise PART IV : Question for Practice Part IV ( Very Short Answer Type Questions) |1 Videos

  • RELATIONS AND FUNCTIONS

    ARIHANT PUBLICATION|Exercise PART IV : Question for Practice Part IV ( Short Answer Type Questions) |2 Videos

  • RELATIONS AND FUNCTIONS

    ARIHANT PUBLICATION|Exercise PART III : Question for Practice Part III ( Very Short Answer Type Questions) |5 Videos

  • QUESTION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|13 Videos

  • SAMPLE PAPER 1

    ARIHANT PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|13 Videos

Similar Questions

Explore conceptually related problems

If f: R rarr R is defined by f(x) = 3x + 2 define f (f (x))

Let f:R rarr R be defined by f(x) = x^(2) +1 Then, find pre-images of 17 and - 3.

Let f: R rarr R be defined by f(x) = 2x - 3 and g: R rarr R be defined by g(x) = (x+3)/(2) , show that fogʻ= I_(R)

Let f ,g: R rarr R be two functions defined as f(x) = |x| +x and g(x) = |x| -x AA x in R. Then find fog and gof .

Let f:Rto(-1,1) be defined by f(x)=x/(1+x^2),x in R . Find f^(-1) if exists.

If f:R to R defined by f(x)=(3x+5)/(2) is an invertible function, then find f^(-1)(x) .

Let f : R rarr R be a function given by f(x) = px +q AA x in R . Find constants p and q such that fof = I_(R)

Let f , R to R and g , R to R defined as f(x) = | x | , g(x) = | 5x - 2| then find fog .