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Show algebraically that f and g are inverse functions f(x)=x^2/-6; g(x)=square root of 2x+12

Which graph represents the following piecewise defined function?

Boris needs to buy plastic spoons. brand a has a box 42 spoons for $2.37. brand b has a box of 72 spoons for $3.57. find the unit price for each brand. then state which brand is the better buy based on the unit price. round your answer to the nearest cent.