Home
Class 12
MATHS
If f: R rarr R be defined by , f(x) = x^...

If `f: R rarr R` be defined by , `f(x) = x^2-3x+4`, for all x in R then` f^-1(2)` is

A

a)1

B

b)3

C

c)-1

D

d)-2

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

If f: R rarr R be defined by , f(x) = 10x - 7 and g = f^-1 , then g(x)

If f : R rarr R is defined by f(x) = [x-3]+|x-4| for x in R , then lim_(x rarr 3^(-)) f(x) is equal to

Let f: R to R be defined by f(x) = x^(4) , then

If f = R rightarrow R is defined by f(x) = |x| , then,

Let f : R to R be defined by f(x)=x^(4) , then

Let f: R rarr R be defined by f(x)= (1)/(x) AA x inR , then f is _______

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

Let f : R rarr R be a function defined by f(x) = x^3 + 5 . Then f^-1(x) is

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. If f(x) = 3^1+logx//x^log3, then f(2005) is

    Text Solution

    |

  2. Let f: I rarr I be defined by f(x) = x + k where k is a fixed intege...

    Text Solution

    |

  3. If f: R rarr R be defined by , f(x) = x^2-3x+4, for all x in R then f^...

    Text Solution

    |

  4. The functon f: N rarr N, defined by f(n)=2n+3, for all n in N, is (her...

    Text Solution

    |

  5. If f : C rarr C, Where C is the set of all complex numbers, is defined...

    Text Solution

    |

  6. If f : C rarrC, Where C is the set of all complex numbers, is defined ...

    Text Solution

    |

  7. If f(x) = (a-x^n)^1/n, a gt 0 , n is a postive integer then f[f(x)]=

    Text Solution

    |

  8. If f(x) is a ploynomial function satisfying f(x) . f(1/x) = f(x) + f(1...

    Text Solution

    |

  9. The number of functions from the set A into the set B, when n(A) = 7 a...

    Text Solution

    |

  10. If n(A)=15 and n(B)=10, then number of injective (one-one) mapping fro...

    Text Solution

    |

  11. The domain of the function f(x) = cot 5x is

    Text Solution

    |

  12. The domain of the function f(x) = tan 3x is

    Text Solution

    |

  13. The domain of f(x) = sqrt[(x-7)(9-x)] is

    Text Solution

    |

  14. The domain of the function f(x) = 1/sqrt[(x-6)(x-9)] is

    Text Solution

    |

  15. The domain of the function f(x) = sqrt[(x-7)/(x-9)] is

    Text Solution

    |

  16. The domain of the function f(x) = sqrt[(x-5)/(x-4)] is

    Text Solution

    |

  17. The function f : N rarr N, Where N is the set of natural numbers, de...

    Text Solution

    |

  18. If f(x)=log((1+x)/(1-x))andg(x)=(3x+x^(3))/(1+3x^(2)), then f(g(x)) is...

    Text Solution

    |

  19. The domain of the function f(x) = sqrt[(x-7)/(9-x)] is

    Text Solution

    |

  20. The domain of the function f(x)=sqrt(2-2x-x^2) is

    Text Solution

    |