Let A be the set of all functions f:R→R such that f(xy)=xf(y) for all x,y∈R.(a) If f∈A then show that f(x+y)=f(x)+f(y) for all x,y∈R(b) For g,h∈A, define a function g∘h by (g∘h)(x)=g(h(x)) for x∈R. Prove that g∘h is in A and is equal to h∘g. functionalgebra proposedalgebra