SOLUTION: find the inverse of y=6x^2-4 is the inverse a function?

Question 443494: find the inverse of y=6x^2-4
is the inverse a function?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
find the inverse of y=6x^2-4
is the inverse a function?
..
y=6x^2-4 (original function)
To find the inverse, interchange x and y and solve for y
x=6y^2-4
x+4=6y^2
y^2=(x+4)/6
y=+-sqrt((x+4)/6) (inverse function)
y=+-((x+4)/6)^.5
see the graph of the original function and its inverse below:

The green and blue curves make up the inverse function. As you can see, it is not a function because for each x in the domain, there are two y's. In a function, each x can have only one y-value. Also note that the range and domain of the original function become the domain and range of the inverse. That, is they interchange.
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