Question #3912

What is the interpretation of [x]?
<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,+∞)

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