Home
Class 12
MATHS
If g(f(x))=|sinx|a n df(g(x))=(sinsqrt(x...

If `g(f(x))=|sinx|a n df(g(x))=(sinsqrt(x))^2` , then `(a).f(x)=sin^2x ,g(x)=sqrt(x)` `(b).f(x)=sinx ,g(x)=|x|` `(c)f(x=x^2,g(x)=sinsqrt(x)` `(d).f\ a n d \g` cannot be determined

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|90 Videos
  • HIGHER ORDER DERIVATIVES

    RD SHARMA ENGLISH|Exercise All Questions|179 Videos

Similar Questions

Explore conceptually related problems

If g(f(x))=|sinx|a n df(g(x))=(sinsqrt(x))^2 , then f(x)=sin^2x ,g(x)=sqrt(x) f(x)=sinx ,g(x)=|x| f(x=x^2,g(x)=sinsqrt(x) fa n dg cannot be determined

Let f(x)=2x-sinx and g(x) = 3^(sqrtx) . Then

If f(x)=|x-2| and g(x)=f(f(x)) then g'(x)=

If f(x)=sinx" and "g(x)=sgn sinx , then g'(1) equals

If f(x)=|x-2|" and "g(x)=f(f(x)), then for 2ltxlt4,g'(x) equals

If f(g(x))=4x^(2)-8x and f(x)=x^(2)-4, then g(x)=

If f(x) =4x^2 and g(x) =f(sin x)+f(cos x), then g (23^(@)) is

If f(x)=|x-2|" and "g(x)=f(f(x)), then for xgt20,g'(x) equals

If f(x)=sqrt(x^(2)-1) and g(x)=(10)/(x+2) , then g(f(3)) =

If intsinx d(secx)=f(x)-g(x)+c ,t h e n f(x)=secx (b) f(x)=tanx g(x)=2x (d) g(x)=x

RD SHARMA ENGLISH-FUNCTION-All Questions
  1. Let f(x)=x^2 and g(x)=2^x . Then the solution set of the equation fo...

    Text Solution

    |

  2. If f(x)=3x-5, then f^(-1)(x) (a) is given by 1/((3x-5)) (b) is given...

    Text Solution

    |

  3. If g(f(x))=|sinx|a n df(g(x))=(sinsqrt(x))^2 , then (a).f(x)=sin^2x ,g...

    Text Solution

    |

  4. The inverse of the function f: Rvec{x in R : x<1} given by f(x)=(e^x-...

    Text Solution

    |

  5. If the function f:(1,oo) vec (1,oo) is defined by f(x)=2^(x(x-1)),t h ...

    Text Solution

    |

  6. Let A={x in R : xlt=1} and f: A->A be defined as f(x)=x(2-x). Then, f...

    Text Solution

    |

  7. Let f(x)=1/(1-x) . Then, {f\ o\ (f\ o\ f)}(x)=(a) x for all x in R...

    Text Solution

    |

  8. If the function f: R->R be such that f(x) = x-[x], where [x] denotes t...

    Text Solution

    |

  9. If F :[1,oo)vec[2,oo) is given by f(x)=x+1/x ,t h e nf^(-1)(x) equals....

    Text Solution

    |

  10. Let g(x)=1+x-[x]a n df(x)={-1, x<0;0, if x=0;1, ifx >0 . Then for all ...

    Text Solution

    |

  11. Let f(x)=(alphax)/((x+1)),x!=-1. for what value of alpha is f(f(x))=x ...

    Text Solution

    |

  12. The distinct linear functions which map [-1, 1] onto [0, 2] are f(x...

    Text Solution

    |

  13. If f :[2,oo)rarr(-oo,4], where f(x)=x(4-x) then find f^-1(x)

    Text Solution

    |

  14. If f: Rvec(-1,1) is defined by f(x)=-(x|x|)/(1+x^2),t h e nf^(-1)(x) e...

    Text Solution

    |

  15. Let [x] denote the greatest integer less than or equal to x . If f(x...

    Text Solution

    |

  16. If g(x)=x^2+x-2a n d1/2gof(x)=2x^2-5x+2, then which is not a possible ...

    Text Solution

    |

  17. If f(x)=sin^2x and the composite function g(f(x))=|sinx| , then g(x)...

    Text Solution

    |

  18. Let f: R->R be given by f(x)=x^2-3 . Then, f^(-1) is given by sqrt(x+3...

    Text Solution

    |

  19. Let f(x)=x^3 be a function with domain {0, 1, 2, 3}. Then domain of...

    Text Solution

    |

  20. Let f: R->R be given by f(x)=x^2-3 . Then, f^(-1) is given by (a)sqrt(...

    Text Solution

    |