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
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.
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Now graph this function.