Home
Class 12
MATHS
Let g:R to R be given by g (x) =3+ 4x if...

Let `g:R to R` be given by `g (x) =3+ 4x` if `g ^(n)(x) =` gogogo……og (x) n times. Then inverse of `g ^(n)(x)` is equal to :

A

`(x+1-4 ^(n)). 4 ^(-n)`

B

`(x-1+4 ^(n)) 4 ^(-n)`

C

`(x+1+4^(n))4 ^(-n)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    VK JAISWAL ENGLISH|Exercise ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT|23 Videos
  • FUNCTION

    VK JAISWAL ENGLISH|Exercise COMPREHENSION TYPE PROBLEMS|15 Videos
  • ELLIPSE

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Subjective Type Problems|2 Videos
  • HYPERBOLA

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Subjective Type Problems|3 Videos

Similar Questions

Explore conceptually related problems

Let g : R rarr R be given g(x) = 3 + 4x. If g^(n)(x) = gogo.......ogo(x) n times, then g^(4)(1) equals..........

If f(x)=x+tanx and f is inverse of g, then g ′(x) is equal to

Let f:R to R and g:R to R be given by f(x)=3x^(2)+2 and g(x)=3x-1 for all x to R . Then,

Let f : R rarr R , g : R rarr R be two functions given by f(x) = 2x - 3, g(x) = x^(3) + 5 . Then (fog) (x) is equal to

Let f (x) = x^(3)+ 4x ^(2)+ 6x and g (x) be inverse then the vlaue of g' (-4):

Let f,g: Rvec be defined by f(x)=2x+1a n d g(x)=x^2-2 for all x in R , respectively. Then, find gofdot

Let f(x) = x + cos x + 2 and g(x) be the inverse function of f(x), then g'(3) equals to ........ .

Let f:R→R, g:R→R be two functions given by f(x)=2x+4 , g(x)=x-4 then fog(x) is

Let f, g : R rarr R be defined respectively by f(x) = 2x + 3 and g(x) = x - 10. Find f-g.

Let f : R to R be differentiable at c in R and f(c ) = 0 . If g(x) = |f(x) |, then at x = c, g is

VK JAISWAL ENGLISH-FUNCTION -SUBJECTIVE TYPE PROBLEMS
  1. Let g:R to R be given by g (x) =3+ 4x if g ^(n)(x) = gogogo……og (x) n ...

    Text Solution

    |

  2. Let f(x) be a polynomial of degree 6 with leading coefficient 2009. Su...

    Text Solution

    |

  3. Let f (x) =x ^(3)-3x Find f (f (x))

    Text Solution

    |

  4. If f(x+y+1)={sqrt(f(x))+sqrt(f(y))}^2 and f(0)=1AAx ,y in R ,d e t e ...

    Text Solution

    |

  5. If the domain of f(x) = sqrt (12-3^(x)-3^(3-x))+ sin ^(-1) ((2x)/(3 ...

    Text Solution

    |

  6. The number of elements in the range of functions: y=sin^(-1) [x^(2)+5/...

    Text Solution

    |

  7. The number of integers in the range of function f (x) = [ sin x] + [ s...

    Text Solution

    |

  8. If P (x) is polynomial of degree 4 such than P (-1)=P (1) =5 and P (-2...

    Text Solution

    |

  9. The number of integral vlaue (s) of k for which the curve y = sqrt ( ...

    Text Solution

    |

  10. Let the solution set of the equation : sqrt([x+[(x)/(2)]])+ sqrt((x)...

    Text Solution

    |

  11. For the real number x, let f (x)=(1)/( ""^(2011sqrt(1-x^(2011)))). Fi...

    Text Solution

    |

  12. Find the number of elements contained in the range of the function f (...

    Text Solution

    |

  13. Let f (x,y)= x^(2) - y^(2) and g (x,y) = 2xy. such that (f ( x,y))^(2)...

    Text Solution

    |

  14. Let f (x) = (x+5)/(sqrt(x^(2)) +1) AA x in R, then the smallest integr...

    Text Solution

    |

  15. The number of integral values of a for which f (x) = x^(3) +(a+2) x ^(...

    Text Solution

    |

  16. The number of roots of equation (((x-1)(x-3))/((x-2)(x-4))-e^(x)) (((x...

    Text Solution

    |

  17. The number of solutions of the equation cos ^(-1)((1-x ^(2) -2x)/((x+...

    Text Solution

    |

  18. Let f(x)=x^2-bx+c,b is an odd positive integer. Given that f(x)=0 ha...

    Text Solution

    |

  19. Let f(x) be a continuous function such that f(0) = 1 and f(x)=f(x/7)=x...

    Text Solution

    |

  20. If f (x) = 4x ^(3) -x ^(2) -2x +1 and g (x) = {{:(min {f(t): 0 le t le...

    Text Solution

    |

  21. If x=10 sum(r=3) ^(100) (1)/((r ^(2) -4)), then [x]= (where [.] deno...

    Text Solution

    |