Home
Class 14
MATHS
If f(x)=logx^(4) and g(x)=4logx then the...

If `f(x)=logx^(4) and g(x)=4logx` then the the domain for which f(x) and g(x) are identical ?

A

`(-infty,infty)`

B

`[0,infty)`

C

[0,`infty`)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELEMENTS OF ALGEBRA

    QUANTUM CAT|Exercise QUESTION BANK|196 Videos

  • GEOMETRY

    QUANTUM CAT|Exercise QUESTION BANK|547 Videos

Similar Questions

Explore conceptually related problems

If f(x)=logx and g(x)=e^(x) , then (fog) (x) is:

If f(x)=sqrt(2-x) and g(x)=sqrt(1-2x) ,then the domain of f[g(x)] is:

f(x)=cos(logx) , then

If f(x)=e^(x) and g(x)=logx , then gof is____________.

If f(x)=log(logx)," then "f'(e)=

If f(x) and g(x) are linear functions of x and f(g(x)) and g(f(x)) are identity functions and if f(0)=4 and g(5)=17, compute f(2006)

If f(x) = sqrt(x ^(2) - 5x + 4) & g(x) = x + 3 , then find the domain of (f)/(g) (x) .

If f(x) and g(x) are polynomial functions of x, then domain of (f(x))/(g(x)) is

QUANTUM CAT-FUNCTIONS AND GRAPHS-QUESTION BANK
  1. If f(x)=(x)/(sqrt(1-x^2)) and g(x)=(x)/(sqrt(1+x^2)), then (fog)(x) ​ ...

    Text Solution

    |

  2. If f(x)=x, g(x)=sqrt(x^2) and h(x)=x^2/x, then the set of values for w...

    Text Solution

    |

  3. If f(x)=logx^(4) and g(x)=4logx then the the domain for which f(x) and...

    Text Solution

    |

  4. If f(x)=Sgn x and g(x)=1+x-[x], then for all x, f(g(x)) is equal to :

    Text Solution

    |

  5. If f(x)=64x^(3)+(1)/(x^(3)) and alpha, beta are the roots of 4x+(1)/(x...

    Text Solution

    |

  6. If f(x)=(x)/(sqrt(1+x^(2)), then f(f(f(x))) is :

    Text Solution

    |

  7. If f(x) = 4^x/(4^x + 2), then find f(x) + f(1 - x).

    Text Solution

    |

  8. If f(x)=1-f(1-x), then the value of f((1)/(999))+f((2)/(999))+...+f(...

    Text Solution

    |

  9. Let f(x)=x^2 and g(x)=sqrtx, then:

    Text Solution

    |

  10. A pipe can fill a tank in 6 hours and another pipe can empty the tank ...

    Text Solution

    |

  11. Let f(x)=x/(x+3), then f(x+1)=?

    Text Solution

    |

  12. Let f(x)= x/(x+3), then 1/f(x+1)-f(1/(x+1))= ?

    Text Solution

    |

  13. If f(x)=(x+1)/(x-1) then the value of f(f(f(x))) is :

    Text Solution

    |

  14. A sum of money is divided among A, B, C and D in the ratio 3 : 5 : 8 :...

    Text Solution

    |

  15. Which of the following option is correct for given graph

    Text Solution

    |

  16. Which of the following option is correct for below curve

    Text Solution

    |

  17. If Suresh borrows Rs. 36000 from Mahesh at rate of interest 6% S.I, at...

    Text Solution

    |

  18. which of the following is correct for the following graph?

    Text Solution

    |

  19. The equationx^2=1-abs(x-2) has n real solutions, then

    Text Solution

    |

  20. The number of real solutions of the equation log0.5absx=2absx is :

    Text Solution

    |