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.
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 :

A

`(2,3)`

B

`(1,3)`

C

`(1,2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

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. Domine of h (x) is :

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 :

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.

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

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.

If f(x) = log_([x-1])(|x|)/(x) ,where [.] denotes the greatest integer function,then

f(x)=log(x-[x]) , where [*] denotes the greatest integer function. find the domain of f(x).

f(x)=cos^-1sqrt(log_([x]) ((|x|)/x)) where [.] denotes the greatest integer function

Home
Profile