Home
Class 12
MATHS
Let f :[2,oo)to {1,oo) defined by f (x)=...

Let `f :[2,oo)to {1,oo)` defined by `f (x)=2^(x ^(4)-4x ^(3))and g : [(pi)/(2), pi] to A ` defined by `g (x) = (sin x+4)/(sin x-2)` be two invertible functions, then
The set "A" equals to

A

[-5,-2]

B

[2,5]

C

[-5,2]

D

[-3,-2]

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Matching Type Questions)|2 Videos
  • FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise FUNCTION EXERCISE 5: Matching Type Questions|2 Videos
  • FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos
  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

Let f :[2,oo)to {1,oo) defined by f (x)=2^(x ^(4)-4x ^(3))and g : [(pi)/(2), pi] to A defined by g (x) = (sin x+4)/(sin x-2) be two invertible functions, then f ^(-1) (x) is equal to

Let f :[2,oo)to {1,oo) defined by f (x)=2^(x ^(4)-4x ^(2))and g : [(pi)/(2), pi] to A defined by g (x) = (sin x+4)/(sin x-2) be two invertible functions, then f ^(-1) (x) is equal to

Let f:[4,oo)to[4,oo) be defined by f(x)=5^(x^((x-4))) .Then f^(-1)(x) is

Let f:(2,oo)to X be defined by f(x)= 4x-x^(2) . Then f is invertible, if X=

If the function f:R rarr A defined as f(x)=sin^(-1)((x)/(1+x^(2))) is a surjective function, then the set A is

Let f:A->B be a function defined by f(x) =sqrt3sin x +cos x+4. If f is invertible, then

If f:[1, oo) rarr [1, oo) is defined as f(x) = 3^(x(x-2)) then f^(-1)(x) is equal to

Let f : [-(pi)/(2), (pi)/(2)] rarr [3, 11] defined as f(x) = sin^(2)x + 4 sin x + 6 . Show that f is bijective function.

If a function f:[2,oo)toR is defined by f(x)=x^(2)-4x+5 , then the range of f is

Let f:(-oo,2] to (-oo,4] be a function defined by f(x)=4x-x^(2) . Then, f^(-1)(x) is

ARIHANT MATHS ENGLISH-FUNCTIONS-Exercise (Passage Based Questions)
  1. Let f(x)=1/2[f(xy)+f(x/y)] " for " x,y in R^(+) such that f(1)=0,f'(1)...

    Text Solution

    |

  2. Let f(x)=1/2[f(xy)+f(x/y)] " for " x,y in R^(+) such that f(1)=0,f'(1)...

    Text Solution

    |

  3. Let f(x)=1/2[f(xy)+f(x/y)] " for " x,y in R^(+) such that f(1)=0,f'(1)...

    Text Solution

    |

  4. If f:R rarr R and f(x)=g(x)+h(x) where g(x) is a polynominal and h(x) ...

    Text Solution

    |

  5. If f:R rarr R and f(x)=g(x)+h(x) where g(x) is a polynominal and h(x) ...

    Text Solution

    |

  6. If f:R rarr R and f(x)=g(x)+h(x) where g(x) is a polynominal and h(x) ...

    Text Solution

    |

  7. Let g(x)=a(0)+a(1)x+a(2)x^(2)+a(3)x^(3)andf(x)=sqrt(g(x)),f(x) have it...

    Text Solution

    |

  8. Let g(x)=a(0)+a(1)x+a(2)x^(2)+a(3)x^(3)andf(x)=sqrt(g(x)),f(x) have it...

    Text Solution

    |

  9. Let g(x)=a(0)+a(1)x+a(2)x^(2)+a(3)x^(3) " and " f(x)=sqrt(g(x)), f(x) ...

    Text Solution

    |

  10. Let f :[2,oo)to {1,oo) defined by f (x)=2^(x ^(4)-4x ^(3))and g : [(pi...

    Text Solution

    |

  11. Let f :[2,oo)to {1,oo) defined by f (x)=2^(x ^(4)-4x ^(3))and g : [(pi...

    Text Solution

    |

  12. Let f :[2,oo)to {1,oo) defined by f (x)=2^(x ^(4)-4x ^(3))and g : [(pi...

    Text Solution

    |

  13. Let P(x) be a polynomial of degree at most 5 which leaves remainders -...

    Text Solution

    |

  14. Let P(x) be a polynomial of degree at most 5 which leaves remainders -...

    Text Solution

    |

  15. Let P(x) be a polynomial of degree at most 5 which leaves remainders -...

    Text Solution

    |

  16. Consider alpha gt 1 and f:[1/alpha,alpha] rarr [1/alpha,alpha] be bije...

    Text Solution

    |

  17. Consider alpha gt 1 and f:[1/alpha,alpha] rarr [1/alpha,alpha] be bije...

    Text Solution

    |

  18. Consider alpha gt 1 and f:[1/alpha,alpha] rarr [1/alpha,alpha] be bije...

    Text Solution

    |

  19. Let f be real valued function from N to N satisfying. The relation f(m...

    Text Solution

    |

  20. Let f be real valued function from N to N satisfying. The relation f(m...

    Text Solution

    |