Question

find the range of f(x)=-sqrt(2x+4)+3

Answer 1

We know that \[- \sqrt(2x+4) \] must always be negative or zero for the given domain.
\[- \sqrt{2x+4} \le 0 \]
Adding 3 to both sides of the inequality, we have:
\[f(x) = 3 - \sqrt{2x+4} \le 3\]
\[Range(f) = (-\infty, 3]\]