Home
Class 12
MATHS
Let f: RrarrR be defined by f(x)={(2x , ...

Let f: `RrarrR` be defined by `f(x)={(2x , xgt3),(x^(2), 1ltxle3),(2x,xle1):}`
Then `f(-1)+f(2)+f(4)` is

A

9

B

14

C

5

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos

  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

Similar Questions

Explore conceptually related problems

Let f : R rarrR be defined by f(x)={{:(2x ,,,x gt3 ),(x^2,,,1 lt xle3),(3x,,,x le1):} Then f(-1) + f(2) + f(4) is

Let, f: R rarr R be defined by f(x) = 2x + cos x, then f

Let f: N rarr N be defined by f(x)=x^(2)+x+1 then f is

Let f : R rarr R be defined by f(x)=2 x+|x| then f(2 x)+f(-x)-f(x)=

If f: R rarr R is defined by f(x)=(x)/(x^(2)+1) find f(f(2))

If f : R to R is defined by f (x) = 2x + 3 , then f^(-1) x

Let f(x) be defined by f(x) = {{:((|x^(2) - x|)/(x^(2) - x),x ne 0"," 1),(1, x = 0),(-1,x = 1):} Then f(x) is continuous for all :

Let f: R rarrR be defined by f(x)=2x+6 which is bijective mapping then f^(-1)(x) is given by

Let f:RtoR be a function defined by : f(x)=(x^(2)+2x+5)/(x^(2)+x+1) is :

If f : R rarr R is defined by f(x) = {((x+2)/(x^(2)+3x+2), x in R-{-1,-2}),(-1, x=-2),(0, x = -1):} then f is continuous on the set

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Let f : [2, oo) rarr R be the function defined by f(x) = x^2-4x+5. The...

    Text Solution

    |

  2. Let, f: N rarr R be the function defined by f(x) = (2x-1)/(2) and g : ...

    Text Solution

    |

  3. Let f: RrarrR be defined by f(x)={(2x , xgt3),(x^(2), 1ltxle3),(2x,xle...

    Text Solution

    |

  4. Let, f : R rarr R be given by f(x) = tan x. Then f^-1(1)=

    Text Solution

    |

  5. If a set has n elements then the total number of subsets of A is

    Text Solution

    |

  6. The number of non empty subsets of the set {1,2,3,4} is

    Text Solution

    |

  7. If A={1,2,3,4,5}, then the number of proper subsets of A is

    Text Solution

    |

  8. Sets A and B have 3 and 6 elements respectively. What can be the minim...

    Text Solution

    |

  9. If the sets A has p elements, B has q elements, then number of element...

    Text Solution

    |

  10. If A={a,b,c}, B={b,c,d} and C={a,d,c}, then (A-B)xx (B nn C)=

    Text Solution

    |

  11. If A ,B and C be three sets such that A uu B = A uu C and A nn B =A nn...

    Text Solution

    |

  12. Let R= {(1,3), (4, 2), (2, 4), (2, 3) , (3, 1)} be a relation on the s...

    Text Solution

    |

  13. Let W denote the words in the English dictionary. Define the relation ...

    Text Solution

    |

  14. If A = {x:x^2-5x+6=0}, B = {2, 4}, C = {4, 5}, then Axx(B nn C) =

    Text Solution

    |

  15. If two sets A and B are having 99 elements in common, then the number ...

    Text Solution

    |

  16. Consider n(U)=20 , n (A) =12, n(B)=9, n(A nn B) =4, where U is the uni...

    Text Solution

    |

  17. A class has 175 students. The following data shows the number of stude...

    Text Solution

    |

  18. In a city 20 percent of the population travels by car, 50 per cent tra...

    Text Solution

    |

  19. If A and B are not disjoint sets, then n(A uu B)=

    Text Solution

    |

  20. In a college of 300 students , every student reads 5 newspapers and ev...

    Text Solution

    |