Home
Class 14
MATHS
f(x) = 1 - h(x), g(x) = 1 - k(x), h(x) =...

f(x) = 1 - h(x), g(x) = 1 - k(x), h(x) = f(x) + 1
f(x) = g(x) + 1, k(x) = j(x) + 1
`(h(f(k(x)))+j(g(h(x)))+k(j(f(x))))/[f(x)+j(x)+k(x)][f(x).j(x)k(x)]` is equal to :

A

0

B

3

C

`3//2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS AND GRAPH

    ARIHANT SSC|Exercise EXERCISE(LEVEL 2)|48 Videos
  • FUNCTIONS AND GRAPH

    ARIHANT SSC|Exercise Final Round|40 Videos
  • FUNCTIONS AND GRAPH

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 17.3|17 Videos
  • ELEMENTS OF ALGEBRA

    ARIHANT SSC|Exercise EXERCISE(LEVEL 1)|32 Videos
  • FUNDAMENTALS

    ARIHANT SSC|Exercise TEST OF YOU - LEARNING - 2|40 Videos

Similar Questions

Explore conceptually related problems

If f(x) = 3x + 6 ,g(x) = 4x + k and fog(x) = gof(x) then k …..

Let f(x)=x, g(x)=1//x and h(x)=f(x) g(x). Then, h(x)=1, if

Given f(x) = (1)/((1-x)) , g(x) = f{f(x)} and h(x) = f{f{f(x)}}, then the value of f(x) g(x) h(x) is

If f(x)=4x-5,g(x)=x^(2) and h(x)=(1)/(x) , then f(g(h(x))) is :

Consider f g and h are real-valued functions defined on R. Let f(x)-f(-x)=0 for all x in R, g(x) + g(-x)=0 for all x in R and h (x) + h(-x)=0 for all x in R. Also, f(1) = 0,f(4) = 2, f(3) = 6, g(1)=1, g(2)=4, g(3)=5, and h(1)=2, h(3)=5, h(6) = 3 The value of f(g(h(1)))+g(h(f(-3)))+h(f(g(-1))) is equal to

If f(x)=(1)/(x), f_(2) (x)=1-x, f_(3) (x)=1/(1-x) then find J(x) such that f_(2) o J o f_(1) (x)=f_(3) (x) (a) f_(1) (x) (b) (1)/(x) f_(3) (x) (c) f_(3) (x) (d) f_(2) (x)

ARIHANT SSC-FUNCTIONS AND GRAPH-EXERCISE(LEVEL 1)
  1. A decimal number 'm' (say) can be expressed as m=1+D where lrarr i...

    Text Solution

    |

  2. A decimal number 'm' (say) can be expressed as m=1+D where lrarr i...

    Text Solution

    |

  3. f(x)=(1)/(x),g(x)=(x+(1)/(x)), then which of the following is true?

    Text Solution

    |

  4. If f(x)=2x^(2)+7x-9 and g(x)=2x+3, then find the vlaue of g(g(x)) at x...

    Text Solution

    |

  5. Find f(f(f(f(f(2)))))) if f(x)=(x+1)/(x-1),x ne 1

    Text Solution

    |

  6. f(x)=1-h(x), g(x)=1-k(x), h(x)=f(x)+1 f(x)=g(x)+1, k(x)=j(x)+1 Fin...

    Text Solution

    |

  7. f(x) = 1 - h(x), g(x) = 1 - k(x), h(x) = f(x) + 1 f(x) = g(x) + 1, k...

    Text Solution

    |

  8. If f(x) and g(x) are odd functions of x, then which of the following i...

    Text Solution

    |

  9. If f(x) is an even function of x and g(x) is an odd function then whic...

    Text Solution

    |

  10. If y=" min "(x^(2)+2, 6-3x), then the greatest value of y for x gt0

    Text Solution

    |

  11. If p^(2)+q^(2)+r^(2)=1, then the maximum vlaue of pqr is :

    Text Solution

    |

  12. A train travels 360 km at a uniform speed. If the speed had been 5 km/...

    Text Solution

    |

  13. Which of the following expression gives negative value ?

    Text Solution

    |

  14. Which of the following expression is necessarily greter than 1?

    Text Solution

    |

  15. A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) ...

    Text Solution

    |

  16. A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) ...

    Text Solution

    |

  17. A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) ...

    Text Solution

    |

  18. A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) ...

    Text Solution

    |

  19. A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) ...

    Text Solution

    |

  20. What is the maximum possible value of xy, where |x+5|=8 and y=9-|x-4|

    Text Solution

    |