Question

Find the domain of the composite function G(F(x)).
1. F(x)= 6- x, G(y)= sqr root of y
G(f(x))= sqr root of 6-x

Answer 1

the domain of a function is valid for even roots is the function is non-negative under the root and therefore the function becomes negative when x is greater than 6 so the domain would be from \[[6,\infty)\] or \[x \ge6\] because when x is 6 it becomes zero and when it is greater than 6 it becomes postive