Home
Class 12
MATHS
Let f(x)=x^(2)andg(x)=sinx for all x inR...

Let `f(x)=x^(2)andg(x)=sinx` for all `x inR`. Then the set of all x satisfying :
`(fogogof)(x)=(gogof)(x)`, where `(fog)(x)=f(g(x))`, is :

A

`+-sqrt(npi),nin{0,1,2,..........}`

B

`+-sqrt(npi),nin{1,2,..................}`

C

`(pi)/(2)+2npi,nin{.......,-2,-1,0,1,2,.......}`

D

`2npi,nin{......-2,-1,0,1,2,.........}`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|14 Videos

  • FUNCTIONS

    MODERN PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (LEVEL -II)|43 Videos

  • FAMILY OF LINES

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|5 Videos

  • HEIGHTS AND DISTANCES

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|1 Videos

Similar Questions

Explore conceptually related problems

If f(x)="sgn "x^(3) for all x, then :

Let f : N to N : f(x) =2 x for all x in N Show that f is one -one and into.

Let f(x)=x^(2) and g(x)=2x+1 be two real functions. Find (f+g) (x), (f-g) (x), (fg) (x), (f/g) (x) .

Let f(x) = x^(2) , g (x) = 2x + 1 be two functions. Then find (i) (f + g) (x) (ii) (f - g) (x) (iii) (fg) (x)

If f(x)=8x^(3), g(x)=x^(1//3) , then fog (x) is

Let function f:RtoR be defined by f(x)=2x+sinx for x inR . Then f is :

Let f(x)=sqrtx and g(x)=x be two functions defined over the set of non-negative real numbers. Find (f+g) (x), (f-g), (fg) (x) and (f/g) (x) .

Let f(x) = sqrt(x) and g(x) = x find (i) (f + g) x (ii) (fg) x

Find f'(x)" if "f(x)= (sin x)^(sin x) for all 0 lt x lt pi .