Home
Class 12
MATHS
If f:R rarr R, g:R rarr R are defined by...

If `f:R rarr R, g:R rarr R` are defined by `f(x)= 5x-3,g(x)=x^(2)+3`, then `(gof^(-1))(3)=`

A

`(25)/(9)`

B

`(111)/(25)`

C

`(9)/(25)`

D

`(25)/(111)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • EAMCET-2019 (TS) SHIFT-1

    SIA PUBLICATION|Exercise CHEMISTRY|10 Videos

  • HYPERBOLIC FUNCTIONS

    SIA PUBLICATION|Exercise Problems|16 Videos

Similar Questions

Explore conceptually related problems

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

If f:R rarr R, g:R rarr R are defined by f(x)=4x-1, g(x)=x^(3)+2, then (gof)((a+1)/(4))=

If f:R rarr R, g:R rarr R are defined by f(x)=x^(2)+2x-3, g(x)=3x-4 , then (fog)(-1)=

If f:R rarr R, S: R rarr R are defined by f(x) = 3x-4, g(x) = 5x-1 then, (fog^(-1))(2) =

If f:R to R,g:R to R are defined by f(x)=3x-2,g(x)=x^(2)+1 , then find (i) (gof^(-1))(2)

If f:R rarr and g:R rarr R are defined by f(x)=3x-4 and g(x)=2+3x then (g^(-1)" of"^(-1))(5)=

If f:R to R,g:R to R are defined by f(x)=3x-2,g(x)=x^(2)+1 , then find (ii) ("gof")(x-1)

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

SIA PUBLICATION-FUNCTIONS AND MATHEMATICAL INDUCTION -Problems
  1. If f : N to R is defined by f(1) = -1 and f(n+1)=3f(n)+2 for n gt 1, t...

    Text Solution

    |

  2. The remainder of n^(4)-2n^(3)-n^(2)+2n-26 when divided by 24 is

    Text Solution

    |

  3. If f:R rarr R, g:R rarr R are defined by f(x)= 5x-3,g(x)=x^(2)+3, then...

    Text Solution

    |

  4. If A={x inR//(pi)/(4)lexle(pi)/(3)} and f(x)=sinx-x, then f(A) is equa...

    Text Solution

    |

  5. The value of the sum 1.2.3+2.3.4+3.4.5+… upto n terms is equal to

    Text Solution

    |

  6. If x=(1)/(5)+(1.3)/(5.10)+(1.3.5)/(5.10.15)+….oo then find 3x^(2)+6x.

    Text Solution

    |

  7. If R is the set of all real numbers and f : R - {2}to R is defined by ...

    Text Solution

    |

  8. Let Q be the set of all rational number in [0, 1] and f:[0, 1]rarr[0, ...

    Text Solution

    |

  9. sum(k=1)^(2n+1)(-1)^(k-1)k^(2) equals to

    Text Solution

    |

  10. If f(x)=(p-x^(n))^(1//n), p gt 0 and n is a positive integer, then f[f...

    Text Solution

    |

  11. The value of {x in R[log(1.6)^(1-x^(2))-(0.625)^(6(1+8))]in R}

    Text Solution

    |

  12. If f : R to R^(2) and R^(+)to R are such that g{f(x)}=|sin x| and f{(g...

    Text Solution

    |

  13. Define f:Z rarrZ by f(x)={{:(x//2,"(x is even)"),(0,"(x is odd)"):} th...

    Text Solution

    |

  14. If (1)/(2xx4)+(1)/(4xx6)+(1)/(6xx8)+…. (n terms) =(kn)/(n+1), then k i...

    Text Solution

    |

  15. If f:[2, oo)rarrB defined by f(x)=x^(2)-4x+5 is a bijection, then B=

    Text Solution

    |

  16. If f : R to R is defined by f(x)=[(x)/(5)] for x in R, where [y] denot...

    Text Solution

    |

  17. If a,b and n are natural numbers, then a^(2n-1)+b^(2a-1) is divisible ...

    Text Solution

    |

  18. 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

    |

  19. Let R denote the set of all real numbers and R^(+) denote the set of a...

    Text Solution

    |

  20. The numbers a(n)=6^(n)-5n for n=1,2,3,… whrn divided by 25 leave the r...

    Text Solution

    |