To find: The inverse of the function ; how is related to g.
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, .
Thus, the required inverse function is .
Observe that the given function and its inverse are the same. That is, .
To identify: The graph of g and relate the answer with part (a).
Use online graphing calculator and draw the graph of as 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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