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.
For `x in (1,5)the f (x)` is not defined at how many points :

A

5

B

4

C

3

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

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 :

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

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 :

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.

Solve : 4{x}= x+ [x] (where [*] denotes the greatest integer function and {*} denotes the fractional part 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).