Given: g (x) =

Square root x-4

and h (x) = 2x-8.

What are the restrictions on the domain of g o h?

The Domain is [6, ∞).

Step-by-step explanation:

g o h = √ (2x - 4 - 8)

= √ (2x - 12).

Since there is no real square root of a negative 2x - 12 must be ≥ 0. That is

x ≥ 6.

Thus the domain must be All Reals (x not <6).