Question

Given g(x) √x-4 and h(x) = 2x - 8

what are the restrictions on the domain of g • h?

x ≥ ____

Answer 1

6

Explanation:

Answer 2

6

Explanation:

Given : g(x) = and h(x)=2x-8.

g*h(x) =(2x-8).

We have square root(x-6) in composite function f*h(x).

So, we need to find the domain, we need to check for that values of x's, square root(x-4\6) would be defined.

Square roots are undefined for negative values.

Therefore, we can setup an inequality for it's domain x-6≥0.

Adding 4 on both sides, we get

x-6+6≥0+6.

x≥6.