Home
Class 12
MATHS
f(x)=In" "e^(x), g(x)=e^(Inx). Identical...

`f(x)=In" "e^(x), g(x)=e^(Inx)`. Identical function or not?

Text Solution

Verified by Experts

The correct Answer is:
Not Identical
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 10|5 Videos
  • FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 11|2 Videos
  • FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 8|8 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos
  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

f(x)=log_(e)x, g(x)=1/(log_(x)e) . Identical function or not?

f(x)=sqrt(1-x^(2)), g(x)=sqrt(1-x)*sqrt(1+x) . Identical functions or not?

Knowledge Check

  • If f(x)=e^(x) and g(x)=(x)/(2) , then g(f(2))=

    A
    `2.7`
    B
    `3.7`
    C
    `4.2`
    D
    `5.4`
  • If f(x)=2 In x+3 and g(x)= e^(x) , then f(g)(3))=

    A
    9
    B
    11
    C
    43.13
    D
    47.13
  • Similar Questions

    Explore conceptually related problems

    f(x)=e^(lncot), g(x)=cot^(- 1)x

    If the functions f and g defined from the set of real number R to R such that f(x) = e^(x) and g(x) = 3x - 2, then find functions fog and gof.

    If f(x)=sqrt(1-x) and g(x)=(log)_e x are two real functions, then describe functions fog and gof .

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

    If e^(x)+e^(f(x))=e , then the domain of the function f is

    if f(x) and g(x) are continuous functions, fog is identity function, g'(b) = 5 and g(b) = a then f'(a) is