Home
Class 11
MATHS
Suppose f:[-2, 2] rarr RR is defined by ...

Suppose `f:[-2, 2] rarr RR` is defined by `f(x)={{:(-1" for "-2 le x le 0),(x-1" for "0le xle 2):}`, then `{x in [-2, 2]: x le 0 and f(|x|)=x}=`

A

`{-1}`

B

{0}

C

`{-1/2}`

D

`phi`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|50 Videos
  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -I|53 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 is defined by f (x) = {:{ (x , " for " 0 le x lt 1) , ( 2 -x , " for " x le 1 ) :} then at x =1

If f(x)={{:(x^(2) " for " 0 le x le 1),(sqrt(x) " for "1 le x le 2):} then int_(0)^(2) f(x)dx=

If f: R to R defined by f(x) ={{:(2x+5, if, x gt 0),(3x-2, if, x le 0):} then f is

If f: [0,3] to [0,3] is defined by: f(x) = {{:(1+x,0 le x le 2),(3-x, 2 lt x le 3):} , then show that f[0,3] sube [0,3] and find fof.

If f(x)={{:(|x|,"if", 0 lt |x| le2),(1,"if", x=0):} then at x=0 has

Show that f(x)={{:(x^(2),if, 0 le x le 1),(x ,if, 1 le x le 2):} is continuous on [0,2]

f(x) = {{:(4-3x " if " x le 0),(2a + x " if " x ge 0):} is continuous at x = 0 then a =

AAKASH SERIES-FUNCTIONS -EXERCISE -II
  1. If f(x) =x and g(x) =|x|, then f(x) + g(x) is equal to

    Text Solution

    |

  2. If f(x)=x^(2) for xlt 0, f(x)=x for 0ltxlt1, f(x)=1//x for x gt1 then ...

    Text Solution

    |

  3. Suppose f:[-2, 2] rarr RR is defined by f(x)={{:(-1" for "-2 le x le 0...

    Text Solution

    |

  4. If g[f(x)]=|sinx|, f[g(x)]=(sinsqrtx)^(2) then

    Text Solution

    |

  5. If f(x) = cos|e^(2)| x + cos[-e^(2)]x where [x] stands for greatest in...

    Text Solution

    |

  6. If f:RR rarr RR is defined by f(x)=x-[x] -(1)/(2)" for "x in RR, where...

    Text Solution

    |

  7. Let g(x) =1+x-[x] and f(x) ={{:(-1, if, x lt 0),(0, if, x=0),(1, if, x...

    Text Solution

    |

  8. If f: R to R and g: R to R are defined by f(x) =x-[x] and g(x) =[x] A...

    Text Solution

    |

  9. If f(x)=[x], g(x)=x-[x] then which of the following functions is the z...

    Text Solution

    |

  10. If f : R to R and g: R to R are given by f(x) =|x| and g(x) =[x] for e...

    Text Solution

    |

  11. f(x) = {{:([x], if, -3 lt x le -1),(|x|, if, -1 lt x lt 1),(|[-x]|, if...

    Text Solution

    |

  12. If f(x) is a polynomial fin x( gt0) satisfying the equation f(x)+f(1//...

    Text Solution

    |

  13. If f(x) is a polynomial function such that f(x)f((1)/(x))=f(x)+f((1)/(...

    Text Solution

    |

  14. If f:R to R is defined as f(x+y)=f(x)+f(y) AA x,y in R and f(1) = 7, f...

    Text Solution

    |

  15. If f(x) is a function such that f(xy)=f(x)+f(y) and f(2)=1 then f(x)=

    Text Solution

    |

  16. f: R to R is given by: f(x)= a^(x)/(a^(x) + sqrt(a)) AA x in R, then ...

    Text Solution

    |

  17. If f(x) =((x-a)(x-b))/x and (f(x))/((x-y)(x-z))+ (f(y))/((x-z)(y-z)) +...

    Text Solution

    |

  18. If 2f(x) -3f(1/x)=x^(2), x ne 0, then f(2)=

    Text Solution

    |

  19. If f(0)=0, f(1)=1, f(2)=2 and f(x)=f(x-2)+f(x-3) " for " x=3, 4, 5, ……...

    Text Solution

    |

  20. If f(x+y,x-y) =xy, then the arithmetic mean of f(x,y) and f(y,-x) is

    Text Solution

    |