Home
Class 14
MATHS
If p(x) is a common multiple of degree 6...

If p(x) is a common multiple of degree 6 of
the polynomials f(x) = `x^(3)+x^(2)-x-1` and
`g(x)=x^(3)-x^(2)+x-1` then which one of the
following is correct ?

A

`f(f(fg(g(f(x)))))=g(g(f(g(f(x)))`

B

`f(f(g(g(g(f(x)))))=g(g(f(g(f(x)))))`

C

`(f(g(g(f(g(g(fx))))=g(g(f(g(f(x))))`

D

`f(f(f(f(g(g(f(x))))=f(f(g(f(x))))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |74 Videos

  • DIFFERENTION

    PUNEET DOGRA|Exercise Practice Sheet|20 Videos

  • HEIGHT & DISTANCE

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |37 Videos

Similar Questions

Explore conceptually related problems

Degree of the polynomial p(x)=3x^(4)+6x+7 is

Degree of the polynomial 2x^(4)+3x^(3)-5x^(2)+9x+1 is

The degree of the polynomial (x+1)(x^(2)-x-x^(4)+1) is:

If the polynomials f(x)=x^(2)+6x+pandg(x)=x^(2)+7x+q have a common factor , then which of the following is true?

if f(x)=|1-x|,1<=x<=2, and g(x)=f(x)+b sin((pi x)/(2)) then which of the following is correct

If g(x) and h(x) are two polynomials such that the polynomials P(x)=g(x^(3))+xh(x^(3)) is divisible by x^(2)+x+1 , then which one of the following is not true?

Find the degree of polynomials (i) x^(4) +x^(3) + x^(2) (ii) x^(2) + x^(3) + 1

What is the common zero of the polynomial x^(3) + 1, x^(2) - 1 and x^(2) + 2x + 1?

Let g(x) and h(x) are two polynomials such that the polynomial P(x) =g(x^(3))+xh(x^(3)) is divisible by x^(2)+x+1 , then which one of the following is not true?

Degree of the polynomial (x^(2)-sqrt(1-x^(3)))^(4)+(x^(2)+sqrt(1-x^(3)))^(4) is

PUNEET DOGRA-FUNCTIONS-PREV YEAR QUESTIONS
  1. If f be greatest integer function defined asf(x)=[x] and g be the mdou...

    Text Solution

    |

  2. If f be greatest integer function defined asf(x)=[x] and g be the mdou...

    Text Solution

    |

  3. If p(x) is a common multiple of degree 6 of the polynomials f(x) = ...

    Text Solution

    |

  4. The domain of the function f(x)=(1)/(sqrt(x^(2)-3x+2)) is

    Text Solution

    |

  5. f(xy) = f(x) + f(y) is true for all

    Text Solution

    |

  6. Let R rarr R be a function defined as f(x) = |x| for each x in R . - ...

    Text Solution

    |

  7. If f: R rarr -R. g : R rarr R be two functions given by f(x) = 2x-3 an...

    Text Solution

    |

  8. Find the derivatives of the following (1-3) functions : f(x) = x+a

    Text Solution

    |

  9. If f(x) =(4x+x^(4))/(1+4x^(3)) and g(x) = In (1+x)/(1-x) t then what...

    Text Solution

    |

  10. Let f(x)=(1)/(1+|x|); x in R the range of f is

    Text Solution

    |

  11. The function f N rarr N. where N being the set of natural numbers, def...

    Text Solution

    |

  12. If f(x)=(x-1)/(x+1), then find f{f(x)}

    Text Solution

    |

  13. Consider the function f(x)=(x-1)/(x+1) What is f(2x) equal to?

    Text Solution

    |

  14. Consider the function f(x)=(x-1)/(x+1) What is f(2x) equal to?

    Text Solution

    |

  15. Let f(x) = ax + b and g(x)= cx+ d. Then f (g(x)) = g (fex) is equivale...

    Text Solution

    |

  16. The average of all the non negative integers upto 99 is:

    Text Solution

    |

  17. If f be a function from the set of natural numbers to the set of even ...

    Text Solution

    |

  18. What is the range of the function f(x)=(|x|)/(x), x ne 0?

    Text Solution

    |

  19. Let N be the set of natural numbers and f: N rarr N be a function give...

    Text Solution

    |

  20. If f.R rarrR be a function whose inverse is (x+5)/(3) what is the val...

    Text Solution

    |