Let F(x)be a Function with Positive Values and Let $g=\sqrt{f}$ If F Has a Local Maximum At and Let

Multiple Choice

Let f(x) be a function with positive values and let $g=\sqrt{f}$ .If f has a local maximum at $x=x_{0}$ , what about g?

A) g has a local maximum at $x=x_{0}$
B) g has a local minimum at $x=x_{0}$
C) g could have a local maximum or a local minimum at $x=x_{0}$