To find: The domain in which the given function becomes one-to-one and find the inverse of the function with the restricted domain.
The domain in which the given function is one-to-one is and the inverse of the function is and domain is .
Concept used: A function with domain A is called a one-to-one function if no two elements of A have the same image, i.e.
If be a one-to-one function with domain A and range B. Then its inverse function has domain B and range A and is defined by
From the given graph of the function, it is clear that the value of don’t repeat on the right hand side of . So, in the domain the given function is one-to-one.
Therefore, the inverse of the given function with restricted domain can be written as
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