Home
Class 12
MATHS
If f(x)=[(x,xlt1),(x^(2),1lexle4),(8sqrt...

If `f(x)=[(x,xlt1),(x^(2),1lexle4),(8sqrt(x),xgt4):}` the find `f^(-1)(x)`.

Text Solution

Verified by Experts

The correct Answer is:
`f^(-1)(x)={(x,xlt1),(sqrt(x),1lexle16),((x^(2))/64,xgt16):}`

NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise SSP|55 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise JEE MAIN|15 Videos
  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos
  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

If f(x)={(x-2,,xlt2),(3,,x=2),(x+2,,xgt3):} ,then find f(8).

Let f:RrarrR be defined by : f(x)={(2x,,xgt3),(x^(2),,1ltxlt3),(3x,,xle1):} Then, f(-1)+f(2)+f(4) is :

If f(x)={{:(1-x",",0lexle2),(x-1",",2lexle4),(1",",4lexle6):} then find, f(0)+f((1)/(2))+f(1)+f((45)/(18)):

If f(x)={(x-1",",xlt0),(1/4",",x=0),(x^2",",xgt0):} , then

Let f(x){(x+1,xle4),(2x+1,4ltxle9),(-x+7,xgt9):} and g(x):{(x^(2),-1lexlt3),(x+2,3lexle5):} then, find f(g(x)) .

If f: R to R be defined by f(x)={(2x:xgt3),(x^(2):1lt x le 3),(3x:x le 1):} Then, f(-1)+f(2)+f(4) is

If f(x)={{:(2x^(2)+1",",xle1),(4x^(3)-1",",xgt1):} , then int_(0)^(2)f(x)dx is

If f(x) = {(3x+1,;0lt=xlt=2), (1+9x,;2ltxlt3),(30+2x,;xgt=3):} find (i) f(1) (ii) f(5/2) (iii) f(4)

If f(x)={{:(a+bx,xlt1),(4,x=1),(b-ax,xgt1):} and underset(xrarr1)f(x)=f(1) , then find the values of 'a' and 'b '

RESONANCE-RELATION, FUNCTION & ITF-HLP_TYPE
  1. The period of sin(pi/4)x+cos(pi/2)x+cos(pi/3)x is

    Text Solution

    |

  2. Consider the function g(x) defined as g(x) (x^(2011-1)-1)=(x+1)(x^2+1)...

    Text Solution

    |

  3. It is given that f 9x) is difined on R satisfyinf f (1)=1 and for AA ...

    Text Solution

    |

  4. Find the integral solutions to the equation [x][y]=x+y . Show that all...

    Text Solution

    |

  5. Let f(x)=A x^2+B x+c ,w h e r eA ,B ,C are real numbers. Prove that if...

    Text Solution

    |

  6. Suppose X and Y are two sets and f:XtoY is a function. For a subset A ...

    Text Solution

    |

  7. Let g: Rvec(0,pi/3) be defined by g(x)=cos^(-1)((x^2-k)/(1+x^2)) . The...

    Text Solution

    |

  8. Let 0ltalpha,beta,gammalt(pi)/2 are the solutions of the equations cos...

    Text Solution

    |

  9. Let f(x)=(log)2(log)3(log)4(log)5(s in x+a^2)dot Find the set of value...

    Text Solution

    |

  10. tan^(-1)(tan theta)={(pi+theta,-(3pi)/2lt theta lt -(pi)/2),(theta , -...

    Text Solution

    |

  11. Express cot(cosec^(-1)x) as an algebraic function of x.

    Text Solution

    |

  12. Express sin^(-1)x in terms of (i) cos^(-1)sqrt(1-x^(2)) (ii) "tan"^(-1...

    Text Solution

    |

  13. If f(x)=[(x,xlt1),(x^(2),1lexle4),(8sqrt(x),xgt4):} the find f^(-1)(x)...

    Text Solution

    |

  14. sin^(-1)(x^2/4+y^2/9)+cos^(-1)(x/(2sqrt2)+y/(3sqrt2)-2)

    Text Solution

    |

  15. If alpha=2 arc t a n((1+x)/(1-x)) in B=a r c s i n((1-x^2)/(1+x^2))...

    Text Solution

    |

  16. Solve {cos^(-1)x}+[tan^(-1)x]=0 for real values of x. Where {.} and [....

    Text Solution

    |

  17. Find the set of all real values of x satisfying the inequality sec^(-1...

    Text Solution

    |

  18. Find the solution of sin^(-1)(x/(1+x))-"sin"^(-1)(x-1)/(x+1)="sin"^(-1...

    Text Solution

    |

  19. An integral solution of the equation Tan^(-1)x+Tan^(-1)(1//y)=Tan^(-1)...

    Text Solution

    |

  20. Determine the integral values of k for which the system (tan^(-1)x)^(2...

    Text Solution

    |