A 12 kg sample of a certain alloy (mixture of metals) contains 3 kg of tin and 9 kg of copper. A chemist decides to study the properties of the alloy as its percentage of tin is varied. Suppose x represents the quantity of tin, in kg, the chemist adds to the sample. Let represent the fraction of the mixture's mass composed of tin--that is, the ratio of the tin's mass to the mixture's total mass. A negative value of x represents a quantity of tin removed from the original 12 kg sample. What is the domain of f?

Question

A 12 kg sample of a certain alloy (mixture of metals) contains 3 kg of tin and 9 kg of copper. A chemist decides to study the properties of the alloy as its percentage of tin is varied. Suppose x represents the quantity of tin, in kg, the chemist adds to the sample. Let  represent the fraction of the mixture's mass composed of tin--that is, the ratio of the tin's mass to the mixture's total mass. A negative value of x represents a quantity of tin removed from the original 12 kg sample. What is the domain of f?

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The Answer of A 12 kg sample of a certain alloy (mixture of metals) contains 3 kg of tin and 9 kg of copper. A chemist decides to study the properties of the alloy as its percentage of tin is varied. Suppose x represents the quantity of tin, in kg, the chemist adds to the sample. Let  represent the fraction of the mixture's mass composed of tin--that is, the ratio of the tin's mass to the mixture's total mass. A negative value of x represents a quantity of tin removed from the original 12 kg sample. What is the domain of f?

A 12 Kg Sample of a Certain Alloy (Mixture of Metals)