Question

Please provide an explanation!​

Answer 1

x > -3; (f•g)(x) = -7 / √(x + 3)

Explanation:

f•g is another way of writing f(g(x)). Plug in the expression for g(x) into f(x).

f(g(x)) = -7 / √(x + 3)

The denominator can't be 0, so x cannot equal -3.

Also, the expression under the radical can't be negative, so x > -3.

Therefore, the domain is x > -3.