Home
Class 11
MATHS
If f: R to R be defined by f(x)={(2x:xgt...

If `f: R to R` be defined by `f(x)={(2x:xgt3),(x^(2):1lt x le 3),(3x:x le 1):}`
Then,`f(-1)+f(2)+f(4)` is

A

9

B

14

C

5

D

10

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos
  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|83 Videos
  • PROBABILITY

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos
  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

Let f:RrarrR be defined by : f(x)={(2x,,xgt3),(x^(2),,1ltxlt3),(3x,,xle1):} Then, f(-1)+f(2)+f(4) is :

If f:R to R is defined by f(x) = x^(2)-3x+2, write f{f(x)} .

If f : R to R is defined as: f(x)={{:(2x+5","x gt 9),(x^(2)-1","-9 lt x lt 9),(x-4"," lt -9):} then evaluate (i) f(2), (ii) f(10),(iii) f(-12) and (iv) f[f(3)] .

If f(x)={{:(,x^(2)+1,0 le x lt 1),(,-3x+5, 1 le x le 2):}

If f:R to R is defined as: f(x)= {{:(2x+1, "if",x gt 2),(x^(2)-1,"if",-2 lt x lt 2),(2x,"if",x lt -2):} then evaluate the following: (i) f(1) (ii) f(5) (iii) f(-3)

Let f(x)=x^(3)-x^(2)+x+1 and g(x) be a function defined by g(x)={{:(,"Max"{f(t):0le t le x},0 le x le 1),(,3-x,1 le x le 2):} Then, g(x) is

Let f:R rarr R be defined by f(x)=x^(2)-3x+4 for the x in R then f^(-1)(2) is

Let f : R-{1} to R be defined by f(x) =(1+x)/(1-x) AA x in R -{1} then for x ne +-1, (1+f(x)^(2))/(f(x)f(x^(2))) =………….

TARGET PUBLICATION-SETS, RELATIONS AND FUNCTIONS-COMPETITVE THINKING
  1. For any two numbers theta and phi , we define theta R phi ...

    Text Solution

    |

  2. If the function f :N to N is defined by f (x)= sqrtx, then (f (25))/(f...

    Text Solution

    |

  3. If f: R to R be defined by f(x)={(2x:xgt3),(x^(2):1lt x le 3),(3x:x le...

    Text Solution

    |

  4. Let f : R to R satisfy f (x) (2) =4, then f ((1)/(2))=

    Text Solution

    |

  5. If f(x) = cos (log (e) x), then f (x) f(y) -1/2 [f(xy) +f((x)/(y))] ha...

    Text Solution

    |

  6. The values of ba n dc for which the identity of f(x+1)-f(x)=8x+3 is sa...

    Text Solution

    |

  7. Given the function f (x) =(a ^(x) + a ^(-x))/(2), a gt 2, then f (x+y)...

    Text Solution

    |

  8. If f(x) = log ((1+x)/(1-x)), then f((2x)/(1+x^(2))) is equal to

    Text Solution

    |

  9. If e^(f(x))=(10+x)/(10-x), x in (-10, 10) and f(x)=kf ((200x)/(100+x^(...

    Text Solution

    |

  10. If f(x) =cos [pi^(2)]x+ cos [-pi^(2)] x, where [x] denots the greatest...

    Text Solution

    |

  11. Prove that if f (x) is periodic function with period T, then the funct...

    Text Solution

    |

  12. If the graph of the function y = f(x) is symmetrical about the line x ...

    Text Solution

    |

  13. Let f {(1,1), (2,4), (0,-2), (-1,-5)} be a linear function from Z into...

    Text Solution

    |

  14. If f (x) =log ""(1+x)/(1-x) then-

    Text Solution

    |

  15. The real valued function f(x)=(a^x-1)/(x^n(a^x+1)) is even, then the v...

    Text Solution

    |

  16. The function f(x) = sec[log(x + sqrt(1+x^2))] is

    Text Solution

    |

  17. The function f(x)= sin | log (x+ sqrt(x^(2) +1)) | is-

    Text Solution

    |

  18. If f(x)+2f((1)/(x))=3x, x ne 0 and S={x in R: f(x) = f(-x)}, " then ...

    Text Solution

    |

  19. If [x] denotes the greatest integer le x, then [(2)/(3)]+[(2)/(3)+(1)/...

    Text Solution

    |

  20. f(x)=cos^(2)x+cos^(2)(pi/3+x)-cosx*cos(x+pi/3) is

    Text Solution

    |