Home
Class 11
MATHS
If f(x)=2x-1, " if " x gt1, =x^(2)+1,"...

If `f(x)=2x-1, " if " x gt1,`
`=x^(2)+1," if " -1 le xle1," then "(f(1)+f(3)+f(0))/(f(2)+f(-1)+f(1//2))=`

A

1

B

0

C

4

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -II|165 Videos
  • FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|50 Videos
  • FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|12 Videos
  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTION|15 Videos
  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos

Similar Questions

Explore conceptually related problems

If f(x)=4x-1," if " x gt4, =x^(2)-2," if " -2 le x le 3, =3x+4," if " x lt -2," then " (f(-3)+f(5)+f(0)+f(-1))/(f(-2)+f(1)+f(-5)+f(3))=

f(x)=4x-1, " if " x gt4 =x^(2)-2, " if " -2 le x le 3 =3x+4," if " x lt -2. Then f(5)+f(2)+f(-3)=

f(x) = {{:(x " if " x le 1),(log x " if " x gt 1 ):} " then f (x) at x = 1 is "

If f: A to A is defined by f(x) =x^(3) , where A ={x//-1 le x le 1} , then f is

If f(x)=x^(2)," find "(f(1.1)-f(1))/((1.1-1))

If f(x)=sin^(-1)(sqrt(3)/2x-1/2sqrt(1-x^(2))), -1/2 le x le 1 , then f(x) is equal to

If f (x) = (x -1)/( 2x ^(2) - 7x + 5) for x ne 1, f (1) = (-1)/(3), find f '(1).

If f(x)=-x" for "x lt 0, f(x)=x " for " 0lexle1, f(x)=1//x" for " x gt1 then the range of f is

If f(x) = {{:(3^(-x)+1, for, -1 le x lt 0),(tan(x//2), for, 0 le x le pi),(x/(x^(2)-2) ,for, pi le x le 6):} , then sqrt(f(0) + f(pi//6) + 1/5f(5) -1/23)= ……………..

The value of 3 f(x ) - 2 f(1/x)=x then f^(1)(2) =

AAKASH SERIES-FUNCTIONS -EXERCISE -I
  1. If f(x)=alphax+beta and f={(1, 1), (2, 3), (3, 5), (4, 7)} then the va...

    Text Solution

    |

  2. If f(x) = {{:(3^(-x)+1, for, -1 le x lt 0),(tan(x//2), for, 0 le x le ...

    Text Solution

    |

  3. If f(x)=2x-1, " if " x gt1, =x^(2)+1," if " -1 le xle1," then "(f(1)...

    Text Solution

    |

  4. If f and g are real functions defined by f(x) =2x-1 and g(x) =x^(2), t...

    Text Solution

    |

  5. f: N to R such that f(x) = (2x-1)/2 and g: Q to R such that g(x) =x+2,...

    Text Solution

    |

  6. If f:R rarrR and g:R rarrR are defined by f(x)=2x+3, g(x)=x^(2)+7 then...

    Text Solution

    |

  7. If g(x) =root(3)(x^(2)+11), f(x) = sqrt(x^(3)-2), then fog(-4)-

    Text Solution

    |

  8. If y=f(x) = (5x+3)/(4x-5), then f(y)=

    Text Solution

    |

  9. If f:[-6, 6]rarr RR defined by f(x)=x^(2)-3" for " x in R then (fofof...

    Text Solution

    |

  10. If f(x) =|x|, x in R, then

    Text Solution

    |

  11. Which of the following is an odd function

    Text Solution

    |

  12. log(x-3) is:

    Text Solution

    |

  13. f(x) is an odd polynomial function. Then cos [f(x)] is

    Text Solution

    |

  14. f(x) is an odd polynomial function. Then cos [f(x)] is

    Text Solution

    |

  15. If f(x) is an even function and g is an odd function, then f(g(x)) i...

    Text Solution

    |

  16. If f: R to R defined byf(x) = x^(2)+1 , then the set of all pre-image...

    Text Solution

    |

  17. If f:R^(+)rarrR such that f(x)=log(3)x then f^(-1)(x)=

    Text Solution

    |

  18. Let f: N to Y be a function defined as f(x) = 4x+3 where Y={y in N: y=...

    Text Solution

    |

  19. If f: R to R, g : R to R functions defined by f(x) = 3x-2, g(x) =x^(2)...

    Text Solution

    |

  20. If the functions of f and g are defined by f(x) = 3x-4, g(x) = 2+3x fo...

    Text Solution

    |