Home
Class 12
MATHS
Let IR be the set of real numbers and th...

Let IR be the set of real numbers and the mapping `f:IR rarr IR` and `g:IR rarr IR` be define by `f(x)=5-x^2` and g(x)=3x-4, then the value of (fog)(-1) is

A

8

B

-44

C

54

D

16

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • HIGHER SECONDARY EXAMINATION 2019

    UNITED BOOK HOUSE|Exercise Exercise|20 Videos
  • HIGHER SECONDARY QUESTION 2018

    UNITED BOOK HOUSE|Exercise EXERCISE|44 Videos

Similar Questions

Explore conceptually related problems

Let R be the set of real numbers and the mappings f:R toR" and "g:RtoR be defined by f(x)=5-x^2" and " g(x)=3x-5 , then the value of (f@g)(-1) is

Let RR be the set of real numbers and the mapping f: RR rarr RR and g: RR rarr RR be defined by f(x)=5-x^(2) and g(x) =3x -4 , state which of the following is the value of (f o g) (-1) ?

Let RR be the set of real numbers and the mapping f: RR rarr RR be defined by f(x)=2x^(2) , then f^(-1) (32)=

Let R be the set of real numbers and the functions f:RrarrR and g:RrarrR be defined f(x)=x^2+2x-3 and g(x)=x+1 . Then the value of x for which f(g(x))=g(f(x)) is

Let RR be the set of real numbers and the functions f: RR to RR and g : RR to RR be defined by f(x ) = x^(2)+2x-3 and g(x ) = x+1 , then the value of x for which f(g(x)) = g(f(x)) is -

Let the mappings f:R to R and g:R to R be defined respectively by f(x)=5|x|-x^(2) and g(x)=2x-3 . Then the value of (gof)(-2) is -

Let RR be the set of real numbers and f: RR rarr RR , g:RR rarr RR be defined by f(x) =5|x|-x^(2) and g(x) =2x-3 Compute (i) (g o f) (-2) (ii) (f o g) (-1) (iii) (g o f)(5) (iv) (f o g )(5)

Let RR be the set of real numbers . If the functions f:RR rarr RR and g: RR rarr RR be defined by , f(x)=3x+2 and g(x) =x^(2)+1 , then find ( g o f) and (f o g) .

Let R be the set of real numbers . If the function f : R to R and g : R to R be defined by f(x) = 4x+1 and g(x)=x^(2)+3, then find (go f ) and (fo g) .

Let the function f:RR rarr RR and g: RR rarr RR be defined by f(x)=x^(2) and g(x)=x+3, evaluate (f o g) (2) , (ii) (g o f) (3)

UNITED BOOK HOUSE-HIGHER SECONDARY EXAMINATION 2020.-EXERCISE
  1. veca and vecb are two vectors such that |veca+vecb|= |veca-vecb| then ...

    Text Solution

    |

  2. If omega be an imaginary cube root of 1 then the value of |[1,omega^2,...

    Text Solution

    |

  3. Let IR be the set of real numbers and the mapping f:IR rarr IR and g:I...

    Text Solution

    |

  4. a straight line makes an angle 45^@ with positive direction of x-axis ...

    Text Solution

    |

  5. Value of overset(pi/2)underset(0)int(sin^(2200)x-cos^(2200)x)dx is-

    Text Solution

    |

  6. The principal value of sin^(-1)(sin((5pi)/6))is-

    Text Solution

    |

  7. Evaluate : sec^2(tan^(-1)2)+cosec^2(cot^(-1)3).

    Text Solution

    |

  8. Show that |[1,logab,logac],[logba,1,logbc],[logca,logcb,1]|=0,(a>0,b>0...

    Text Solution

    |

  9. Find the deferential equation of xy= Ae^x+Be^(-x)+x^2 by eleminating A...

    Text Solution

    |

  10. If x^2 = a^(sin^(-1)t) and y^2= a^(cos^(-1)t) then show that (dy)/(dx)...

    Text Solution

    |

  11. If f(x) = (sin 5x)/(2x) (when x!=0) = (5k)/4(when x= 0), and f(x) is...

    Text Solution

    |

  12. If x>0,y>0 and xy= 100, find the minimum value of (x+y)

    Text Solution

    |

  13. Evaluate: int((cosx+xsinx)/(x(x+cosx)))dx.

    Text Solution

    |

  14. If f(x) = -f(-x) then show that overset(a)underset(-a)int f(x)dx =0.

    Text Solution

    |

  15. Find a vector of magnitude 14 in the direction of the vector -3hat i+6...

    Text Solution

    |

  16. Find the direction cosines of a straight line which is situate on yz-p...

    Text Solution

    |

  17. If P(A)=1/4,P(B)=1/3 and P(A-B)=1/6 then verify whether a and B are tw...

    Text Solution

    |

  18. The mean and variance of a binomial distribution B(n,p|) are 4 and 3.2...

    Text Solution

    |

  19. *' is an operation defined on Z set of all integers as a*b = a+b-2 for...

    Text Solution

    |

  20. *' is an operation defined on Z set of all integers as a*b = a+b-2 for...

    Text Solution

    |