Home
Class 11
MATHS
Let the question f(x) = logx^2 and phi(x...

Let the question `f(x) = logx^2` and `phi(x) = 2 log x`, then

A

a) `f(x) le phi(x)`

B

b) `f(x) ne phi(x)`

C

c) `f = phi`

D

d) `f ne phi`

Text Solution

Verified by Experts

The correct Answer is:
D

The function f(x) is defined for x `x ne 0` and the other function `phi(x)` is also defined only for `x gt 0.`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • FUNCTION

    PATHFINDER|Exercise QUESTION BANK|296 Videos
  • LIMIT, CONTINUITY AND DIFFERENTIABILITY

    PATHFINDER|Exercise QUESTION BANK|293 Videos

Similar Questions

Explore conceptually related problems

If f(x)=sinx, g(x)=x^2 and h(x)=log x, find h[g{f(x)}].

If f(x) = logx, then d/(dx)f(logx) =

Knowledge Check

  • Let f(x)=|log|x||, then-

    A
    domain of `f=(0,oo)`
    B
    domain of `f=RR-{0}`
    C
    f is a continuous function
    D
    f is not differentiable at` -1 , 1 `
  • Let f(x)=sinx,g(x)=x^2 and h(x) = log x. If F(x)=(h(f(g(x)))) , then F'(x) is:

    A
    a)`2xcotx^2`
    B
    b)`2co"sec"^3x`
    C
    c)`-2co"sec"^2x`
    D
    d)none of these
  • The function f (x) = log (x+ sqrt(x^(2) +1)) is-

    A
    a periodic function
    B
    neither an even nor an odd function
    C
    an even function
    D
    an odd function
  • Similar Questions

    Explore conceptually related problems

    If two real functions f(x) and phi(x) are defined respectively by f(x)= sqrt(x-2) and phi(x)=x+3 , then find each of the following functions : f+phi

    If two real functions f(x) and phi(x) are defined respectively by f(x)= sqrt(x-2) and phi(x)=x+3 , then find each of the following functions : (f)/(phi)

    If two real functions f(x) and phi(x) are defined respectively by f(x)= sqrt(x-2) and phi(x)=x+3 , then find each of the following functions : (1)/(phi)

    If two real functions f(x) and phi(x) are defined respectively by f(x)= sqrt(x-2) and phi(x)=x+3 , then find each of the following functions : (1)/(f)

    Solve the equation x^(log_x(x+3)^2 ) =16