Finding the inverse of f(x) = 1/(1+x) and its domain

[jacy]

Hello,
In this problem i have to find the inverse of the given function and the domain on which its valid. Here is the function

f(x)= 1/(1+x)

this is what i have done

y= 1/(1+x)

interchanging x and y
x= 1/(1+y)

y= (1/x)- 1

this is my inverse function.

Now i need to find the domain. Can someone please help me with that, thanks.

 

[TD]

Do you mean the domain of the inverse function? What do you think could cause a problem for the domain, which x-value(s)?

 

[StatusX]

Also, what value does the original function never take on? Clearly, there shouldn't be a well defined value of the inverse function at this point.

 

[jacy]

Do you mean the domain of the inverse function? What do you think could cause a problem for the domain, which x-value(s)?

Yes i need to find the domain of the inverse function.
The value that can cause a problem is 0.

 

[TD]

Is there any other value which could cause a problem?
And do you see the link with what StatusX told you?