Home
Class 12
MATHS
If the function f(x) is defined by f(x)...

If the function f(x) is defined by `f(x)=a+bx` and `f^(r )=fff….` (repeated r times), then `f^(r )(x)` is equal to -

A

`a(b^(r )-1)+b^(r )x`

B

`ar+bx^(r )`

C

`a*(b^(r )-1)/(b-1)+b^(r )x`

D

`(a+x)b^(r )`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 8|80 Videos

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

If the function f (x) is defined by f (x) =a+bx and f ^( R)= f f f … (repeated r times), then f ^( R)(x) is equal to-

Let the function f : R to R be defined by f(x)= 2x + cos x , then f(x)-

If the function f: R to R is defined by f(x) =(x^(2)+1)^(35) for all x in RR then f is

Let f:R to R be defined by f(x)=x^(2) and g:R to R be defined by g(x)=x+5 . Then , (gof)(x) is equal to -

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

If the function f: R to R is defined by f(x)=x^(2)-6x-14 , then f^(-1)(2) is equal to -

Draw the graph of the function f: R to R defined by f(x)=x^(3), x in R .

Let the function f:R to R be defined by f(x)=x+sinx for all x in R. Then f is -

The function f:R to R is defined by f(x)=cos^(2)x+sin^(4)x for x in R . Then the range of f(x) is

A function f : R to R is defined by f(x) =x^(2) .Then show that f is neither nor surfection .

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 5
  1. It is known that a lot of 10 articles contains 3 defectives. A sampl...

    Text Solution

    |

  2. If the mean and variance of a binomial distribution are (4)/(3) and...

    Text Solution

    |

  3. If the function f(x) is defined by f(x)=a+bx and f^(r )=fff…. (repea...

    Text Solution

    |

  4. The range of the function " "^(7-x)P(x-3) is -

    Text Solution

    |

  5. The domain of definition of the function f(x)=("sin"^(-1)(x-3))/(sqrt...

    Text Solution

    |

  6. The acute angle between the z-axis and the straight line joining th...

    Text Solution

    |

  7. Let veca=hati+hatj+2hatk, vecb=2hati+2hatj, vec c=3hati+5hatj-2hatk a...

    Text Solution

    |

  8. If vecr(1)=hati+2hatj-2hatk and vecr(2)=3hatj-4hatk, then the angle be...

    Text Solution

    |

  9. A unit vector which is perpendicular to both the vectors veca=hati-ha...

    Text Solution

    |

  10. If |veca|=7,|vecb|=sqrt(26) and |veca xx vecb|=35, then the value of v...

    Text Solution

    |

  11. The equation of any plane parallel to y -axis is -

    Text Solution

    |

  12. If |vecb|=4 and (veca+vecb)*(veca-vecb)=9, then the value |veca| is -

    Text Solution

    |

  13. If the line vecr=(2hati-hatj+3hatk)+lambda(2hati+hatj+2hatk) is paral...

    Text Solution

    |

  14. If the equation ax^(4)+bx^(3)+cx^(2)+kx=0 has a root alpha gt 0, the...

    Text Solution

    |

  15. The chord of the curve ax^(2)+bx+c=0, joining the points x=p and x=q o...

    Text Solution

    |

  16. The value of lim(x to 0) (10^(x)-2^(x)-5^(x)+1)/(x log(1+x)) is -

    Text Solution

    |

  17. If f(x)=log(x)(log(e)x), then the value of f'(e ) is -

    Text Solution

    |

  18. If y=(cos^(-1)x)^(2), then the value of (1-x^(2))y(2)-xy(1) is -

    Text Solution

    |

  19. If y=sin(x^(2)), z=e^(y^(2)) and t=sqrt(z), then the value of (dt)/(dx...

    Text Solution

    |

  20. If y=a^(x)b^(2x-1), then the value of (d^(2)y)/(dx^(2)) is -

    Text Solution

    |