Question: If f(x) is concave down for all x then -f(x) is (concave up, concave down, can't tell)? If f'(a) is positive and g(x) =

If f(x) is concave down for all x then -f(x) is (concave up, concave down, can't tell)? If f'(a) is positive and g(x) = f(x) - 8, then g'(a) is (positive, negative, can't tell)?
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