Math, asked by tiwaririya632, 8 months ago

find the domain f(x) = 1/[x]+x​

Answers

Answered by Saby123
1

To find :

 \displaystyle \sf{ Find \: the \: domain \: of \: - \: f(x) = \dfrac{ 1 }{ [x] } + x } .

Here , [ x ] denotes the greatest integer function .

Solution :

Lets start by first plugging in a few values of x and see whether it holds or not .

Here , first of all , we can see that for x = 0 , [ x ] = 0 .

Now , 1/0 is undefined .

Hence , this function is valid only when x 0 .

Now ,we know that the domain of the greatest integer function is

x € R .

In the question , it is not mentioned about the range of f(x) , so the question is incomplete .

Assuming that the range of f(x) € R .

For x , it ' s domain is all values € R .

Answer :

The domain of f(x) is x € R , & x ≠ 0 .

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Additional Information :

Domain refers to the range of all input values that a function can take .

Range refers to all the output values .

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Answered by ItzRockingStar
2

Step-by-step explanation:

Domains reviews all the input of the range value

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