Question

The domain of function f(x) = loge([x] – x),
where [] denotes greatest integer function, is​

Answer 1

Answer:

,∞)−{2}

Step-by-step explanation:

Let f(x)=log

[x+1/2]

∣x

2

−x−2∣

For f(x) to be defined x

2

−x−2



=0⇒(x−2)(x+1)



=0⇒x



=−1,2

And [x+

2

1

]>0,



=1⇒x+

2

1

≥1, and x+

2

1

∈

/

[1,2)

⇒x≥

2

1

and x∈

/

[

2

1

,

2

3

)

Combining above we get required domain x∈[

2

3

,∞)−{2}