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$A, S, M$ and $D$ are functions of $x$ and $y$, and they are defined as follows.

  • $A(x, y) = x + y$
  • $M(x, y) = xy$
  • $S(x,y)= x-y$
  • $D(x,y)= x/y, y\neq 0$

What is the value of $M(M(A(M(x, y), S(y, x)), x), A(y, x))$ for $x = 2, y = 3$?

  1. $60$
  2. $140$
  3. $25$
  4. $70$
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1 Answer

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  • $A(x, y) = x + y$
  • $M(x, y) = xy$
  • $S(x,y)= x-y$
  • $D(x,y)= \dfrac{x}{y}, y\neq 0$

$M(M(A(M(x, y), S(y, x)), x), A(y, x)) \text{for}\: x = 2, y = 3?$

Now, $A(y,x) =  y + x$

$\implies A(3,2) = 3+2 = 5$

$$\textbf{Not Complete yet}$$

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