



 
Jasmine, I am going to show you how to approach this problem using a similar function.
I am first going to write the relationship as
so x is the input variable (is in the domain) and y is the output variable (is in the range). The inverse relationship interchanges the roles of x and y so it is given by
Putting it in the more conventional form, that is "solving for y" gives
The term (x) under the root sign tells me that x must be zero or negative so the domain of this relationship is all x with x ≤0. It's also not a function, for example if x = 9 then
I think of these problems geometrically. When you tell me the function is y = x^{2} I see its graph Graphing the inverse relationship means interchanging the X and Y axes and placing the resulting graph in standard position (see the video) This is not the graph of a function. The red line shows that it doesn't pass the vertical line test. I hope this helps,  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 