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Let (X;d) be a metric space. Determine all k such that a) kd is a metric on X. b) k+d is a metric on X.

Mathematics
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Also this is old for me...:). As much as I remmeber... d is a metric if it satisfyes folowing properties: for any x, y and z that belong to X: d(x,x)=0 d(x,y)=d(y,x) d(x,z)<=d(x,y)+d(y,z) triangular property so find k that keeps this properties right

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