Home
Class 12
MATHS
Show that the function f:R->R defined by...

Show that the function `f:R->R` defined by `f(x)=x/(x^2+1) AA x in R` is neither one-one nor onto. Also if `g:R->R` is defined by `g(x)=2x-1` find fog(x)

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2019

    XII BOARDS PREVIOUS YEAR|Exercise Section D 35 B|1 Videos

Similar Questions

Explore conceptually related problems

Show that the function f:RrarrR defined by f(x)=(x)/(x^(2)+1),AAx inR is neither one-one nor onto. Also, if g:RrarrR is defined as g(x)=2x-1 , find fog(x).

Show that the function f:R rarr R given by f(x)=cos x for all x in R, is neither one- one nor onto

f:R rarr R defined by f(x)=(x)/(x^(2)+1),AA x in R is

Show that the function f:R rarr R given by f(x)=cos x function f:R, is neither one-one nor onto.

Show that the function f;R-.R defined by f(x)=cos(5x+2) is neither one-one nor onto ?

Show that the function f : R rarr R defined by f(x) = cos (5x+3) is neither one-one not onto.

Let the function f:R to R be defined by f(x)=cos x, AA x in R. Show that f is neither one-one nor onto.

Show that the function f:R rarr R defined as f(x)=x^(2) is neither one-one nor onto.

Show that the function f:R rarr R defined by f(x)= absx is neither one one nor onto

Show that the function f:R rarr R defined by f(x)=x^4+5 is neither one one nor onto

XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. Using elementary row transformations, find the inverse of the matrix A...

    Text Solution

    |

  2. Let A={x in Z:0 le x le 12}. Show that R={(a,b):a,b in A,|a-b| is divi...

    Text Solution

    |

  3. Show that the function f:R->R defined by f(x)=x/(x^2+1) AA x in R is n...

    Text Solution

    |

  4. If an operation ** on the set of integers Z is defined by a**b=2a^2+b ...

    Text Solution

    |

  5. Find the equation of the plane passing through the point <math> <mr...

    Text Solution

    |

  6. If A is a square matrix of order 2 and |A|=4, then find the value of |...

    Text Solution

    |

  7. Solve the following differential equation: x[dy]/[dx]sin(y/x)+x-ysin...

    Text Solution

    |

  8. Four cards are drawn one by one with replacement from a well-shuffled ...

    Text Solution

    |

  9. int1^5(|x-1|+|x-2|+|x-4|)\ dx

    Text Solution

    |

  10. Find the particular solution of the differential equation: (1+e^2x)dy+...

    Text Solution

    |

  11. The probability of two students A and B coming to school are 2/7 and 4...

    Text Solution

    |

  12. If y=(sinx)^x+sin^(-1)sqrt(1-x^2) then find (dy)/(dx)

    Text Solution

    |

  13. If x,y,z are different and Delta=|[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z...

    Text Solution

    |

  14. Find the value of (x-y) from the matrix equation 2[(x,5),(7,y-3)]+[(-...

    Text Solution

    |

  15. int cos2x*cos4x*cos6x dx

    Text Solution

    |

  16. Solve the following differential equation: (y+3x^2)(dx)/(dy)=x

    Text Solution

    |

  17. Prove that sin^(-1)(4/5)+tan^(-1)(5/12)+cos^(-1)(63/65)=pi/2

    Text Solution

    |

  18. Find the angle between the line vec r = (2 hat i-hat j +3 hat k)+ lamb...

    Text Solution

    |

  19. Find the interval in which the function f given by f(x)=sin2x+cos2x, 0...

    Text Solution

    |

  20. Using vectors, prove that the points (2,-1,3) ,(3,-5,1) and (-1,11,9) ...

    Text Solution

    |