Here is the problem:

Let y = f(z) = √(4 − z^2) and z = g(x) = 2x + 3. Compute the compositiony = f(g(x)). Find the largest possible domain of x-values so that the composition y = f(g(x))is defined.

The answer: −5/2 ≤ x ≤ −1/2

Can someone guide me through the steps on how to reach such a conclusion? Thank you!