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**Truthbetold** Consider the acceleration due to gravity, g, at a height h above the surface of a planet of mass m.

(a) If m is held constant, is g an increasing or decreasing function of h? Why?

(b) if h is held constant, is g an increasing or decreasing function of m? Why?

My ideas

(a) g = f(h,m)

I would guess h.

(b) same equation. I'd guess yes as well.

Both factors seem equally involved in making the function decreasing or increasing.

I don't know how to solve these without guessing, though.

Thanks!