If w@z is equivalent to 3w – z, what is the value of (w@z)@z?

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Accepted Answer

The definition of the function states that you must multiply by 3 the term before the @ symbol, then subtract from that product the term after the @ symbol. Begin with the function in parentheses, w@z, which is given as 3w – z. Replace the expression w@z with 3w – z, and the problem becomes (3w – z)@z. Again, multiply the term before the @ symbol by 3, and subtract from it the term after the @ symbol. Multiply 3w – z by 3 and subtract z: (3w – z)@z = 3(3w – z) – z = 9w – 3z – z = 9w – 4z.

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