Question

Given: g(x) =

Square root x-4
and h(x) = 2x–8.
What are the restrictions on the domain of g o h?

Answer 1

answer is 6 on edge

Explanation:

Answer 2

The Domain is [6, ∞).

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).