what is the moment generating function?
how do i find the mean and variance?
any help would really be appreciated since i dont understand anything concerning this
I assume you mean . This pdf is incomplete as you do not include the interval over which this expression is defined (the support).
You should know that you need to calculate (and I have not included the integral terminals since you did not completely define the pdf). So please show all your working and clearly state where you are stuck.
I don't plan to do the calculation since you know how to answer the question. If you have found the correct values of E(X) and E(X^2) then your answer for Var(X) = E(X^2) - (E(X))^2 will probably be correct.