# Answer to Question #3912 in Real Analysis for tanmay

Question #3912

What is the interpretation of [x]?

<br>What is the domain of function f(x)=1/[x]+1?

<br>What is the domain of function f(x)=1/[x]+1?

Expert's answer

1) What is the interpretation of [x]?

By definition [x] is the greates

integer, which is less or equal to x.

So [2.345]=2,& [3]=3,&

[-12.4]=-13

2) What is the domain of function

f(x)=1/[x]+1?

This function is undefined when [x]=0, so x=0.

Thus the

domain of f is

(-∞, 0)& U& (0,+∞)

By definition [x] is the greates

integer, which is less or equal to x.

So [2.345]=2,& [3]=3,&

[-12.4]=-13

2) What is the domain of function

f(x)=1/[x]+1?

This function is undefined when [x]=0, so x=0.

Thus the

domain of f is

(-∞, 0)& U& (0,+∞)

Need a fast expert's response?

Submit orderand get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

## Comments

## Leave a comment