Find the domain on which y = x^2 + 8x + 12 is a 1-1 function, and find the inverse function y=f^-1.
how do i find the domain and inverse? thanks!
Since the graph of that function is a parabola, it will be one to one on the two intervals: x< x-coordinate of vertex and x> x-coordinate of vertex.
You can complete the square to find the vertex.
To find the two inverses, write the equation as $\displaystyle x^2+ 8x+ 12-y= 0$ an use the quadratic formula to solve for x.