SOLUTION: Find the domain and range, (4x+5)^3 --------- 3x+1

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Question 79: Find the domain and range, (4x+5)^3
---------
3x+1

Answer by ichudov(499) About Me  (Show Source):
You can put this solution on YOUR website!
I am assuming that you are asking about function %284x%2B5%29%5E3%2F%283x%2B1%29
The domain is all points where the function is defined. It is defined in all points where the denominator 3x+1 is not 0. It is zero at the point x=-1/3, obviously.
So, the domain is all X except -1/3.
The range is all points, which becomes obvious when you try to draw the graph. The function approaches plus and minus infinity around point x=-1/3, and also gets to zero in point x=-4/5.