Home
Class 11
MATHS
If f :R rarr R is defined by f(x)=x^2-3 ...

If `f :R rarr R` is defined by `f(x)=x^2-3 x+2`, find `f(f(x))`. Also evaluate `f(f(5))`

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    V PUBLICATION|Exercise QUESTION BANK|89 Videos

  • SEQUENCES AND SERIES

    V PUBLICATION|Exercise QUESTIONBANK|140 Videos

Similar Questions

Explore conceptually related problems

If f:RrarrR is defined by f(x) = x^2-3x+2 , find f(f(x))

f:RtoR is defined by f(x)=x^2-3x+2 Find fof(x) and fof(1) .

A fuction f:RrarrR defined by f(x)=(2x-3)/7 . Find f^-1

If f, g: R rarr R are defined by f(x)=x^2+3 x+1 , g(x)=2 x-3 , find (i) fog (ii)fof (iii) (gof) (2) (iv) (gog)(-5)

Let f: R rarr R be a function defined by f(x)=x^2-3 x+2 Find f^' (2) and f^'(6)

if the function f : R rarrR be defined by f(x) = x^2 + 5x + 9 find f^(-1)(9).

If f(x)=2x+3, find f[f(x)] .

Let f, g: R rarr R be defined by f(x)=x^2+1 and g(x)=sin x . Find f o g and gof .

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

V PUBLICATION-RELATIONS AND FUNCTIONS-QUESTIONBANK
  1. If f is a real function defined by f(x)=(x-1)/(x+1), then prove that f...

    Text Solution

    |

  2. Find the domain and range of the following functions: i)f(x)=1/(sqrt(x...

    Text Solution

    |

  3. Let f and g be two real functions defined by f(x)=1/(x+4) and g(x)=(x+...

    Text Solution

    |

  4. Which of the following relations are functions? Give reasons. If it is...

    Text Solution

    |

  5. If f(x)=x^2+x-1 and g(x)=4 x-7. be real functions then find: i) (f+g)...

    Text Solution

    |

  6. Let f and g be real functions defined by f(x)=sqrt(x+4), x ge-4 and g(...

    Text Solution

    |

  7. If af(x)+bf (1/x)=1/x-5 for x ne 0, where a ne b. Find f(x)

    Text Solution

    |

  8. If A={3,4,6} , B={1,3} and C={1,2,6}, then find (i) A xx(B nn C) (...

    Text Solution

    |

  9. Let A and B are two sets such that n (A) = 3 and n (B) = 2. If (x,1),...

    Text Solution

    |

  10. Let A be a non - empty set such that A xx B=A xx C show that B=C

    Text Solution

    |

  11. Let A subset B, C subset D, then prove that A xx C subset B xx D

    Text Solution

    |

  12. Let R be the relation on Z defined by R={(a, b), a, b in Z, a^2=b^2} F...

    Text Solution

    |

  13. Let R be the relation on Z defined by R = { ( a,b): a,b in Z, a - b i...

    Text Solution

    |

  14. If f :R rarr R is defined by f(x)=x^2-3 x+2, find f(f(x)). Also evalua...

    Text Solution

    |

  15. If f(x)=x+1/x show that (f(x))^3=f(x^3)+3 f(x)

    Text Solution

    |

  16. Find the domain of the following. f(x)=(x^2+2x+1)/(x^2-8x+12)

    Text Solution

    |

  17. Draw the graph of the real function y=x^2+2 x+3

    Text Solution

    |

  18. Draw the graph of the real function y={[ x, if x le 0], [ x^2, if...

    Text Solution

    |

  19. Let f: R rarr R be a function defined by f(x)=x^2+[x]+|x|-7, x in R. F...

    Text Solution

    |

  20. Let f, g: R rarr R be functions defined respectively by f(x)=x+1, g(x)...

    Text Solution

    |