The function f(x)=(x+6)^2 is not one-to-one. Choose the largest possible domain containing the number 0 so that f(x) restricted to this domain is one-to-one.

Question

The largest possible domain is [-6,infinity)
If the restriction function is written F, then inverse function F^{-1}(y)=...

Answer 1

The largest possible domain of [-6,∞) is correct for a one-to-one. In general, for a parabola, it is from the vertex to either +∞ or -∞.

Note that the domain of F becomes the range of F^-1.

See previous post for hints on how to tackle this one.

http://www.jiskha.com/display.cgi?id=1288236842