Home
Class 12
MATHS
If function f:R to R , f(x)=x-1 and g(x)...

If function `f:R to R , f(x)=x-1 and g(x)=x^2/(x^2+1)` then `fog` is

A

one-one and onto

B

one-one but not onto

C

onto but not one-one

D

neither one-one nor onto

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

Statement-1: If f:R to R and g:R to R be two functions such that f(x)=x^(2) and g(x)=x^(3) , then fog (x)=gof (x). Statement-2: The composition of functions is commulative.

Let f:R rarr R , g : R rarr R be two function given by f(x) =5x-4 and g(x) = x^(3)+7 then (fog)^(-1) (x) equals

If f: R->R and g: R->R be functions defined by f(x)=x^2+1 and g(x)=sinx , then find fog and gof .

Let f: R->R , g: R->R be two functions defined by f(x)=x^2+x+1 and g(x)=1-x^2 . Write fog\ (-2) .

The composite mapping fog of the maps f:R to R , f(x)=sin x and g:R to R, g(x)=x^(2) , is

Let f : R to R and g : R to R be given by f (x) = x^(2) and g(x) =x ^(3) +1, then (fog) (x)

If f:R rarr R,f(x)=2x-1 and g:R rarr R,g(x)=x^(2) then (gof)(x) equals

If f:R rarr R and g:R rarr R given by f(x)=x-5 and g(x)=x^(2)-1, Find fog

If f: R to R and g: R to R be two functions defined as f(x)=2x+1 and g(x)=x^(2)-2 respectively , then find (gof) (x) and (fog) (x) and show that (fog) (x) ne (gof) (x).

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. lim(x to 0) (cos(sinx)-cosx)/x^4 is equal to

    Text Solution

    |

  2. Find the area bounded by y^2=8x and y^2=16(3-x)

    Text Solution

    |

  3. If function f:R to R , f(x)=x-1 and g(x)=x^2/(x^2+1) then fog is

    Text Solution

    |

  4. If p and q are real number and p+q=3 , p^4+q^4=369 then the value of (...

    Text Solution

    |

  5. z^2+z+1=0 , z in CC. Find abs(sum(k=1)^15(z^k+1/z^k)^2)=

    Text Solution

    |

  6. Evaluvate 16 sin20^@ sin40^@ sin80^@

    Text Solution

    |

  7. If x dy/dx+2y=xe^x where y(1)=0 then value of local maxima of z(x)=x^2...

    Text Solution

    |

  8. 24/piint0^sqrt2 (2-x^2)/((2+x^2)(sqrt(4+x^4)))dx

    Text Solution

    |

  9. r is an element of (p,q,~p,~q) p vv r to (p wedge q) vv r is a tautol...

    Text Solution

    |

  10. int 1/x sqrt((1-x)/(1+x))dx=g(x)+c then find the value of g(1/2)

    Text Solution

    |

  11. If A=sum(n=1)^oo 1/(3+(-1)^n)^n and B=sum(n=1)^oo (-1)^n/(3+(-1)^n)^n ...

    Text Solution

    |

  12. The sides of a cuboid are 2x,4x , 5x. There is a closed hemisphere of ...

    Text Solution

    |

  13. If the given system alphax+y+z=5 , x+2y+4z=4 and x+3y+5z=beta has infi...

    Text Solution

    |

  14. Consider the function f(x)=min{1,1+x sinx} x in [o,pi]

    Text Solution

    |

  15. The mean of 50 observation is 15 and the standard deviation is 2.Howev...

    Text Solution

    |

  16. A digit number is randomly formed, find the probability that its commo...

    Text Solution

    |

  17. Find the eccentricity of locus of midpoint of line segments joining (4...

    Text Solution

    |

  18. Let a1 , a2, a3 . . . are in GP such that a2+a4=2a3+1 , a2+a3=2a4 then...

    Text Solution

    |

  19. If slope of common tangent of circle x^2+y^2=12 and ellipse x^2/9+y^2/...

    Text Solution

    |

  20. The number of three-digit number n such that greatest common divisor (...

    Text Solution

    |