Find its inverse. State the domain and the range of f and f^-1. Graph f, f^-1, and y=x on the same coordinate axes.

f (x)= (x^3) + 1

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- Dec 16th 2008, 10:04 PMkukid123Functions and their graphs
Find its inverse. State the domain and the range of f and f^-1. Graph f, f^-1, and y=x on the same coordinate axes.

f (x)= (x^3) + 1 - Dec 16th 2008, 10:50 PMProve It
Unless otherwise stated, the domain of any polynomial is always .

It always helps to sketch the graph to start with.

So the domain of is .

It's range is also .

To find the inverse, your x and y (or in this case, f) values swap, and so do the domain and range.

Since the domain and range of were both , so are the domain and range of .

Now we just find what the inverse function is.

.

Now graph this function.