Home
Class 11
MATHS
Let f:[1/2,infty)rarr[3/4,infty),where f...

Let `f:[1/2,infty)rarr[3/4,infty)`,where `f(x)=x^2-x+1`. Find the inverse of `f(x)`.Hence or otherwise solve the equation, `x^2-x+1=1/2+sqrt(x-3/4` .

Text Solution

Verified by Experts

x=1
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|81 Videos
  • FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|66 Videos

Similar Questions

Explore conceptually related problems

If f(x+3) = 2x^2-3x-1 , find the value of f(x+1).

If f(x)=3x^2-x+1 , then find f(-1)

if 2f(x)+3f(-x)=x^2+x+1 find the value of f'(1)

If f(x)=x^2-3x+1 , then find f(-2)

If f(x)=3x^2-x+1 , then find f(-2) .

If f(x)=x^2-2x+1 , then find f(1)

If f(x)=x^2-3x+1 , then find f(1) .

If 2f(x).+ 3f(-x) = x^2-x+1, find the value of f(1).

If f(x)=x^2-3x+1 , then find f(0) .

Let f(x+3)=x^2 -3x -1 .then find f(x+1)

PATHFINDER-FUNCTION-QUESTION BANK
  1. Sketch the graph of the following functions: f(x)=f(x)=(sinx/sqrt(1+ta...

    Text Solution

    |

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

    Text Solution

    |

  3. Let f:[1/2,infty)rarr[3/4,infty),where f(x)=x^2-x+1. Find the inverse ...

    Text Solution

    |

  4. Find the domain of the function f(x)=1/[[|x-1|]+[|7-x|]-6 ,[.] greates...

    Text Solution

    |

  5. If f(x) is a real valued function which satisfied f(x+3/2)+f(x)+f(x+1)...

    Text Solution

    |

  6. Let f(x)=sin(pi/6sin(pi/2sinx)) for all x in RR and g(x)=pi/2sinxfor a...

    Text Solution

    |

  7. If [0,pi//2)rarr R is defined as f(0)=|[[1, tantheta, 1],[-tantheta, ...

    Text Solution

    |

  8. {x inR :|cosx|gesinx}cap[0,(3pi)/2]=

    Text Solution

    |

  9. Let f[-2,2]rarrR be a continuous function such that f(x)assumes only i...

    Text Solution

    |

  10. Let f:NrarrR be such that f(1)=1and f(1)+2f(2)+3f(3)+......+nf(n)=n(n+...

    Text Solution

    |

  11. For the functionf(x)=[1/[[x]]] , where [x] denotes the greatest intege...

    Text Solution

    |

  12. Letf :(-pi/2,pi/2)rarrR be given by f(x)=(log)(secx+tan x))^3 Then

    Text Solution

    |

  13. If a in R and the equation -3(x-[x])^2+2(x-[x])+a^2=0 (where [x] deno...

    Text Solution

    |

  14. Let R be the set of all real numbers f:RrarrR be given by f(x)=3x^2+1....

    Text Solution

    |

  15. The function f(x)=x^2+bx+c, where b and c real constants , describes

    Text Solution

    |

  16. The range of the function y=(pi^2/16+x^2) is ?

    Text Solution

    |

  17. Letf(x)=2^100x+1,g(x)=3^100x+1 Then the set of real numbers x such tha...

    Text Solution

    |

  18. Which of the following real valued functions is/are not even functions...

    Text Solution

    |

  19. Letf:RrarrR be such that f is injective and f(x) f(y)=f(x+y) for all x...

    Text Solution

    |

  20. The function f[0,3]rarr[1,29], defined by f(x)=2x^3-15x^2+36x+1,is

    Text Solution

    |