Home
Class 12
MATHS
Let f(x) = log ({x}) [x] g (x) =log (...

Let ` f(x) = log _({x}) [x]`
`g (x) =log _({x}){x}`
`h (x)= log _({x}) {x}`
where `[], {}` denotes the greatest integer function and fractional part function respectively.
Domine of `h (x)` is :

A

`[2,oo)`

B

`[1,oo)`

C

`[2,oo)-{I}`

D

`R ^(+) -{I}`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    VK JAISWAL ENGLISH|Exercise MATCHING TYPE PROBLEMS|6 Videos

  • FUNCTION

    VK JAISWAL ENGLISH|Exercise SUBJECTIVE TYPE PROBLEMS|36 Videos

  • FUNCTION

    VK JAISWAL ENGLISH|Exercise ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT|23 Videos

  • ELLIPSE

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Subjective Type Problems|2 Videos

  • HYPERBOLA

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Subjective Type Problems|3 Videos

Similar Questions

Explore conceptually related problems

Let f(x) = log _({x}) [x] g (x) =log _({x})-{x} h (x) log _({x}) {x} where [], {} denotes the greatest integer function and fractional part function respectively. If A = {x:x in domine of f (x))) and B {x:x domine of g (x)} then AA x in (1,5), A -B will be :

Let f(x) = log _({x}) [x] g (x) =log _({x})-{x} h (x) log _({x}) {x} where [], {} denotes the greatest integer function and fractional part function respectively. For x in (1,5)the f (x) is not defined at how many points :

Solve 2[x]=x+{x},where [.] and {} denote the greatest integer function and the fractional part function, respectively.

Solve 2[x]=x+{x},w h r e[]a n d{} denote the greatest integer function and the fractional part function, respectively.

f(x)=[x^(2)]-{x}^(2), where [.] and {.} denote the greatest integer function and the fractional part function , respectively , is

Solve the equation [x]{x}=x, where [] and {} denote the greatest integer function and fractional part, respectively.

Solve : [x]^(2)=x+2{x}, where [.] and {.} denote the greatest integer and the fractional part functions, respectively.

If f(x) = [x^2] + sqrt({x}^2 , where [] and {.} denote the greatest integer and fractional part functions respectively,then

f(x)=sin^-1[log_2(x^2/2)] where [ . ] denotes the greatest integer function.

The value of int_(0)^(|x|){x} dx (where [*] and {*} denotes greatest integer and fraction part function respectively) is