Home
Class 12
MATHS
Let f:R-{-1/2}toR and g:R-{-5/2}toR be d...

Let `f:R-{-1/2}toR` and `g:R-{-5/2}toR` be defined as `f(x)=(2x+3)/(2x+1)` `g(x)=(abs(x)+1)/(2x+5)` then the domain of the function f(g(x) is:

A

: `R-{-(7)/(4)`}

B

`R-{-(5)/(2)}`

C

R

D

`R-{-(5)/(2),-(7)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos
  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

Similar Questions

Explore conceptually related problems

f(x)=x^(2)+xg'(1)+g''(2)and g(x)=f(1)x^(2)+xf'(x)+f'(x). The domain of the function sqrt((f(x))/(g(x))) is

Let f:R rarr R be defined as f(x)=2x-1 and g:R-{1}rarr R be defined as g(x)=(x-(1)/(2))/(x-1) .Then the composition function f(g(x)) is :

Let f :R to R be fefined as f(x) = 2x -1 and g : R - {1} to R be defined as g(x) = (x-1/2)/(x-1) Then the composition function ƒ(g(x)) is :

consider f:R-{0}toR defined by f(x)=1-e^((1)/(x)-1) Q. f(x) is a/an

Let f: R->R and g: R->R be defined by f(x)=x^2 and g(x)=x+1 . Show that fog!=gofdot

If f:R to R and g:R to R are defined by f(x)=(2x+3) and g(x)=x^(2)+7 , then the values of x such that g(f(x))=8 are

If f: R to R and g: R to R are defined by f(x)=2x+3 and g(x)=x^(2)+7 , then the values of x such that g(f(x))=8 are

Let f:R rarr R defined by f(x)=x^(3)+e^(x/2) and let g(x)=f^(-1)(x) then the value of g'(1) is

Let R be the set of real number and the mapping f :R to R and g : R to R be defined by f (x)=5-x^(2)and g (x)=3x-4, then the value of (fog) (-1) is

Let f:R rarr R be defined as f(x)=x^(3)+3x^(2)+6x-5+4e^(2x) and g(x)=f^(-1)(x) ,then find g'(-1)

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
  1. Let the area of the region {(x,y):x-2y+4ge 0 , x+2y^(2) ge 0,x+4y^(2...

    Text Solution

    |

  2. Let A=[[2,0,1],[1,1,0],[1,0,1]],B=[B(1),B(2),B(3)] ,where B(1),B(2),B(...

    Text Solution

    |

  3. Let f:R-{-1/2}toR and g:R-{-5/2}toR be defined as f(x)=(2x+3)/(2x+1) g...

    Text Solution

    |

  4. Let alpha=((4!)!)/((4!)^(3!)) and beta=((5!)!)/((5!)^(4!)) .Then:

    Text Solution

    |

  5. Consider the function f:(0,2)rarr R defined by f(x)=(x)/(2)+(2)/(x) an...

    Text Solution

    |

  6. An urn contains 6 white and 9 black balls. Two successive draws of 4 b...

    Text Solution

    |

  7. Considering only the principal values of inverse trigonometric functio...

    Text Solution

    |

  8. Let the position vectors of the vertices "A,B" and "C" of a triangle b...

    Text Solution

    |

  9. The position vectors of the vertices A, B and C of a triangle are 2 ha...

    Text Solution

    |

  10. If 20th term from the end of the progression 20, "19"1/4, "18"1/2,"17"...

    Text Solution

    |

  11. For 0 lt alt 1 ,the value of the integral int(0)^( pi)(dx)/(1-2a cos x...

    Text Solution

    |

  12. Let the image of the point "(1,0,7)" in the line (x)/(1)=(y-1)/(2)=(z-...

    Text Solution

    |

  13. If 2tan^2theta-5sectheta=1 has exactly 7 solutions in [0,(npi)/2] for ...

    Text Solution

    |

  14. Let e(1) be the eccentricity of the hyperbola (x^(2))/(16)-(y^(2))/(9)...

    Text Solution

    |

  15. lim(x rarr0)(3+alpha sin x+beta cos x+log(e)(1-x))/(3tan^(2)x)=(1)/(3)...

    Text Solution

    |

  16. The values of alpha ,for which [[1,(3)/(2),alpha+(3)/(2)],[1,(1)/(3),a...

    Text Solution

    |

  17. The integral int((x^(8)-x^(2))dx)/((x^(12)+3x^(6)+1)tan^(-1)(x^(3)+(1)...

    Text Solution

    |

  18. Let g(x)=3f((x)/(3))+f(3-x) and f''(x)>0 for all x in(0,3). If "g" is ...

    Text Solution

    |

  19. If y=y(x) is the solution curve of the differential equation (x^(2)-4)...

    Text Solution

    |

  20. Let "A" and "B" be two finite sets with "m" and "n" elements respectiv...

    Text Solution

    |