Which of the following is equivalent to m#(n#m)?

The function m#n is equal to m 2 C n.

Which of the following is equivalent to m#(n#m)?
A . Cn
B . n 2 C m
C . m2+ m C n 2
D . (m 2 C n) 2 C n
E . (n 2 C m) 2 C m

View Answer

Answer: C

Explanation:

m#n is a function definition. The problem is saying “m#n” is the same as “m 2 C n”. If m#n is n 2 C n, then n#m is n2C m. So, to find m#(n#m), replace (n#m) with the value of (n#m), which is n 2 C m: m#(n 2 C m).

Now, use the function definition again. The function definition says “take the value before the # symbol, square it, and subtract the value after the # symbol”: m squared is m 2 minus the second term, (n 2 C m), is equal to m 2 C (n 2 C m) = m 2 C n 2 + m.