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Inverse domain is used to map an address to a name.
For instance, if a server receives a request from a client
and this server has only the ip addresses of the clients in
its list then the server needs to find out if this client
is on its authorized client list.
In order to determine if the client is on the authorized
client list,server asks its resolver to query to the DNS
server to map an address to name.
And this type of querys are called inverse query(pointer
query -PTR).
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What is the domain of the inverse of sin?
X an element of real numbers
If an inverse function undoes the work of the original function what does the original function's becomes the inverse function's domain?
Range
What is the domain and range of nine inverse cosine three x?
Domain = [0, pi/3) radians or [0, 60) degrees.Range = [-9, 9]
Does f have an inverse?
It very much depends on f. If f is one-to-one and onto (injective and surjective) then yes, else no. One-to-one means that for each element in the domain there is a different image in the range. This is not true for g(x) = x2 for example, where -3 and +3 are both mapped to +9. So g(x) does not have an inverse UNLESS you restrict the domain of g to non-negative reals. Then -3 is no longer in the domain. Onto means that every element in the range of the function has a corresponding element in the domain which is mapped onto it. Again, a suitable changes to the domain and range can transform a function without an inverse into an invertible one.
What is the inverse of the cosine function?
The inverse of the cosine function is arcosine. The domain is −1 ≤ x ≤ 1 since the range of the cosine function is from -1 to 1. The range is from 0 to pi radians or 0 to 180 degrees.
