doesn't have inverse because it doesn't pass the horizontal line test. This test tells us that a function 
has an inverse function if and only if there is no any horizontal  line that intersects the graph of 
then this line will touch the graph of f at three points, so the horizontal line test is not satisfied here. If you see the graph of g, this doesn't represent a function because there is at least one vertical line that touches the graph at more than one point, so this relation is not a function.Are the functions f(x) and g(x) inverse of one another?
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