Question: 1.) If f(x) is convex, f(x)+b is a convex function for any constant b. True or false? 2.) If f(x) is convex, af(x) is a

1.) If f(x) is convex, f(x)+b is a convex function for any constant b. True or false?

2.) If f(x) is convex, af(x) is a convex function for any constant a. True or false?

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