exam Maths Puzzle Numerical Ability

im having a hard time with this problem. Find the Domain of g(x) = [x4 -2x3 + 7] / [3x2 - 10x - 8] and f(x) = [x+1]1/2 / x. Can someone help me?

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Assume that y varies inversely as x. If y =4 when x = 1/2, find y when x =2 How to find O(log N) & O(N Log N)