Home
Class 11
MATHS
If f: R to R defined byf(x) = x^(2)+1 ,...

If `f: R to R` defined by`f(x) = x^(2)+1` , then the set of all pre-images of `17=f^(-1)(17)` ,the set of all pre-images of `-3=f^(-1)(-3)` are respectively

A

`phi, [4,-4]`

B

`[3,-3], phi`

C

`(4,-4), phi`

D

`[4,-4], [2,-2]`

Text Solution

Verified by Experts

The correct Answer is:
C
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: R to R defined by f(x) =x^(2)-2x-3 , then f is:

f: R to R defined by f (x) = x ^(2). then f^-1(x)

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

If f : R to R is defined by f(x) = x^(2)- 6x + 4 then , f(3x + 4) =

f: R to R is defined by f(x) =x^(2)-5x . Then the inverse image set of {-6} is

If f: R to R is defined by f(x)=(x^(2)-4)/(x^(2)+1) , then f(x) is

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

If f: R to R is defined by f(x) = 2x+|x| , then f(3x) -f(-x)-4x=

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

If f:R rarr(0, 1] is defined by f(x)=(1)/(x^(2)+1) , then f is

AAKASH SERIES-FUNCTIONS -EXERCISE -I
  1. f(x) is an odd polynomial function. Then cos [f(x)] is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. If f(x) = (3x+2)/(5x-3), then

    Text Solution

    |

  9. The domain of (10^(x) +10^(-x))/(10^(x)-10^(-x)) is:

    Text Solution

    |

  10. The domain of sec 5x is:

    Text Solution

    |

  11. Domain of root(3)(x). cot x is

    Text Solution

    |

  12. The domain of (x+1)/sqrt(x^(2)-5x+6) is:

    Text Solution

    |

  13. The domain of the function: f(x) = log(3)(18x-x^(2)-77) is:

    Text Solution

    |

  14. The domain of log(x)5 is:

    Text Solution

    |

  15. If f(x) =|x/2| is a real function, then f: R to B is a surjection then...

    Text Solution

    |

  16. Let A={x in R : x ne 0, -4le xle4} and f:A rarrR is defined by f(x)=(|...

    Text Solution

    |

  17. Domain , Range of f(x) =|x| + |x+1| are respectively:

    Text Solution

    |

  18. f and h are form A into B where A={a,b,c,d}, B={s,t,u} defined as f(a)...

    Text Solution

    |

  19. A = {1, 2, 5, 6, 11}, B = {2, -1, 1, 0, 11, 108} and f(x) x^(2)-x-2, t...

    Text Solution

    |

  20. The function f: N to N defined by f(n) =2n+3 is

    Text Solution

    |