Home
Class 12
MATHS
If f(x)=e^(x) and g(x)=log^(e^(x)) then ...

If f(x)=`e^(x)` and g(x)=`log^(e^(x))` then which of the following is TRUE

A

`f{g(x)} `ne` g(f(x)}`

B

`f{g(x)} = g(f(x)}`

C

`f{g(x)} + g(f(x)}`

D

`f{g(x)} - g(f(x)}`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST PAPER -III

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|60 Videos

  • PARABOLA

    MODERN PUBLICATION|Exercise RECENT COMPETITION QUESTION (QUESTION FROM KARNATAKA CET & COMED)|9 Videos

Similar Questions

Explore conceptually related problems

If f(x)=e^(x)andg(x)=loge^(x) , then which of the following is TRUE ?

If y+log(1+x)=0 which of the following is true?

Observe the following statements A : int (((x^(2)-1)/(x^(2))).e^((x^(2)+1/x)) dx = e^((x^(2)+1)/x) + c R: int f^(')(x).e^(f(x)) dx = f(x) + c Then which of the following is true?

f:RrarrR and g:[0,oo]rarrR is defined by f(x)=x^(2) and g(x)=sqrtx . Which one of the following is not true?

f: R to R and g: [0,oo)to R is defined by f(x) = x^(2) and g(x) = sqrtx . Which one of the following is not true?

If the function f(x)= x^(3)+e^(x/2) and g(x) = f^(-1)(x) then the value of g^(')(1) is

If f(x)=log ((1+x)/(1-x)) , then

If y = (e^(x)+e^(-x))/(e^(x)-e^(-x)) then is equal to...

If f(x) = log_(a) (log_(a)x) , then f^(')(x) is

MODERN PUBLICATION-MOCK TEST PAPER -IV-SELECT THE CORRECT ANSWER
  1. If a set A has 4 elements then total number of proper subsets of set...

    Text Solution

    |

  2. If 3x=5 (mod 7) then

    Text Solution

    |

  3. If f(x)=e^(x) and g(x)=log^(e^(x)) then which of the following is TRU...

    Text Solution

    |

  4. The number of bijective functions from the set A to itself if a contai...

    Text Solution

    |

  5. If 2x=-1+sqrt(3)i, then the value of (1-x^(2)+x)^(6)-(1-x+x^(2))^(6)=

    Text Solution

    |

  6. If a, b,c , d are the roots of the equation : x^(4) + 2x^(3) + 3x^(2...

    Text Solution

    |

  7. The expression : (1)/(sqrt((3x + 1))) ( { ( (1 + sqrt(3x + 1))/(2) ...

    Text Solution

    |

  8. The number of triangles in a complete graph with 10 non collinear vert...

    Text Solution

    |

  9. If x^(r ) occurs in the expansions of (x+(1)/(x))^(n) then its coeff...

    Text Solution

    |

  10. If in the expansion of (1+x)^(m)(1-x)^(n) the coefficients of x and x^...

    Text Solution

    |

  11. If the straight line ax +by+c=0 always passes through (1,-2) then a,b,...

    Text Solution

    |

  12. A straight line through P(1,2) is such that the intercept between the...

    Text Solution

    |

  13. If the line through A=(4,-5) is inclined at an anlge 45^(@) with the p...

    Text Solution

    |

  14. The mean and variance for the data 6,7,10,12,13,4,8,12 respectively ar...

    Text Solution

    |

  15. If tan(x+y)=33, and x= tan^(-1)3, then: y=

    Text Solution

    |

  16. Prove that: (sin x - sin 3x)/(sin^(2)x-cos^(2)x)=2sinx

    Text Solution

    |

  17. The number of solution of the eqution |cot x|=cot x+(1)/(sin x)(0 le x...

    Text Solution

    |

  18. The number of solution of the eqution |cot x|=cot x+(1)/(sin x)(0 le x...

    Text Solution

    |

  19. cot^(-1)(21) +cot^(-1)(13)+co^(-1)(8)=

    Text Solution

    |

  20. tan(cos^(-1)(1)/(5sqrt(2))-sin^(-1)(4)/sqrt(17)) is

    Text Solution

    |