To find: The inverse of the function ; how is related to f.
The inverse of the function is and .
Let the given function as .
Solve this equation for x as follows.
Interchange x and y and obtain the inverse function, . Since the given function has the restriction as , ignore the negative root of x.
Thus, the required inverse function is .
Observe that the given function and its inverse are the same. That is .
To identify: The graph of f and relate the answer with part (a).
The graphs of is shown below in Figure 1.
From Figure 1, it is observed that the graph of is a reflection of the graph about the line . Notice that the graphs of are same.
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