Home
Class 11
MATHS
Find the sum and product of identity fun...

Find the sum and product of identity function and the modulus function.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    RD SHARMA ENGLISH|Exercise All Questions|100 Videos

  • GEOMETRIC PROGRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|256 Videos

Similar Questions

Explore conceptually related problems

Find the sum and difference of the identity function and the modulus function.

Find the product of the identity function and the reciprocal function.

Find the quotient of the identity function by the modulus function.

Prove that the product of the identity function and the signum function is the modulus function.

What are the sum and difference of the identity function and the reciprocal function ?

Find the quotient of the identity function by the reciprocal function.

If f is the greatest integer function and g is the modulus function, then find the value of (g0f)(-5/3)-(fog)(-5/3)dot

Let n(A)=5 and n(B)=3 then find the number of injective functions and onto functions from A to B

Show that any function can be expressed as the sum of an odd function and even function

Let A be any non-empty set. Then, prove that the identity function on set A is a bijection.

RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. Find the domain of definition of the function f(x) given by f(x)=1/(lo...

    Text Solution

    |

  2. Find the range of each of the following functions: f(x)=|x-3| f(x)=...

    Text Solution

    |

  3. Find the sum and product of identity function and the modulus function...

    Text Solution

    |

  4. Let cb ea non-zero real number and f: RvecR be a function defined by f...

    Text Solution

    |

  5. If f(x)=1/(1-x) , show thatf[f{f(x)}]=xdot

    Text Solution

    |

  6. If f(x)=x^3-1/(x^3) , show that f(x)+f(1/x)=0.

    Text Solution

    |

  7. Let fa n dg be two real functions defined by f(x)=1/(x+4)a n dg(x)=(x-...

    Text Solution

    |

  8. Find the range of each of the following functions: f(x)=1/(sqrt(x-5)) ...

    Text Solution

    |

  9. Find the domain of the real function f(x) defined by f(x)=sqrt((1-|x|)...

    Text Solution

    |

  10. Let f be the exponential function and g be the logarithmic function, F...

    Text Solution

    |

  11. If f is a real function satisfying f(x+1/x)=x^2+1/(x^2) for all x in ...

    Text Solution

    |

  12. Let f\ be a relation on the set NN of natural numbers defined by f={(...

    Text Solution

    |

  13. Let f be the subset of Z xxZ defined by f" "=" "{(a b ," "a" "+" "b)" ...

    Text Solution

    |

  14. Consider a rule f(x)=2x-3 associating elements of NN (set of natural n...

    Text Solution

    |

  15. Let A={-2,\ -1,\ 0,\ 1,\ 2}a n d\ f: A->ZZ be given y f(x)=x^2-2x-3. F...

    Text Solution

    |

  16. Let A={1,2},\ B={3,6} and f: A->B given by f(x)=x^2+2\ and\ g: A->B gi...

    Text Solution

    |

  17. Let f : R - {2} rarr R be defined as f(x) = (x^2 - 4)/(x-2) and g: R...

    Text Solution

    |

  18. Let f: ZZ->ZZ\ a n d\ g: ZZ->ZZ\ be functions defined by f={(n , n^2)...

    Text Solution

    |

  19. Let f: R->R be a function given by f(x)=x^2+1. Find: f^(-1){-5}

    Text Solution

    |

  20. Let f: R->R be a function given by f(x)=x^2+1. Find: f^(-1){26}

    Text Solution

    |