exam Maths Puzzle Numerical Ability

please help me
let f(X)=x/6 , x=1,2,3,zero elsewhere be the pdf of x , find the distribution function and the pdf of y=x^2

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exam Other Question

prove the identity

sin x/tan x + cos x/cot x = sin x cos x Show a graph of y=f(x) and y=(g)x. Express the function g in terms of f. This one is hard but I gave it my best shot with, g(x)=2-f(x-2) is this right. Thanks for the help.