find the domain f(x) = 1/[x]+x
Answers
To find :
.
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 .
_____________________________________
Additional Information :
Domain refers to the range of all input values that a function can take .
Range refers to all the output values .
_____________________________________
Step-by-step explanation:
Domains reviews all the input of the range value