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um here weve got a function machine or a number machine it says input then says add nine multiply by two and then you get your output so part a the input is three what is the output so to get the output were gonna first of all add nine so three plus nine is equal to twelve and then were going to multiply by two so twelve multiplied by two is equal to twenty-four so if the input is 3 the output is 24. okay part b the output this time is fairly work out the input so whenever youve got the output and you need to get the input youre going to work from right to left and youre going to do the inverse operations so instead of multiplying by two were going to divide by two so were going to take our thirty were gonna divide it by two and thirty divided by two is fifteen then instead of add nine were going to subtract nine so were gonna do fifteen subtract nine and fifteen subtract 9 is 6. so weve got our input of 6. so if the output is 30 the input is 6. unless we lets just test i