Question

Let y = f(z) = √4 − z2 and z = g(x) = 2x + 3. Compute the composition y = f(g(x)). Find the largest possible domain of x-values so that the composition y = f(g(x)) is defined.

Need help.

Answer 1

replace z in the function y with 2x + 3 to get the composition y = f(g(x))

Answer 2

is it
\[ \large f(z)=\sqrt{4}-z^2 \]
or
\[ \large f(z)=\sqrt{4-z^2} \]

Answer 3

thanks