A quadratic function fx is shown select symbols and value to

A quadratic function f(x) is shown select symbols and value to restrict the domain of f(x) so that f^-1(x), is a function and the domain of f(x) includes x = -4

Solution

you can make 2 functions out of it

1st one can be:
(-inf , +6]

2nd one can be
[+6, +inf)

This is for the 1st part and last part of the quadratic equations respectively