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Find the non-permissible replacement for a in this expression a^2/3a+6.

A. 0
B. -6
C. -3
D. 3

1 Answer

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Final answer:

The non-permissible replacement for 'a' in the expression a^2/3a+6 is -2.

Step-by-step explanation:

To find the non-permissible replacement for a in the expression a^2/3a+6, we need to determine the values of a that would result in an undefined or non-permissible value. In this case, the non-permissible replacement for a occurs when the denominator is equal to zero. So, we need to solve the equation 3a+6=0 to find the value of a that makes the expression undefined.

Solving the equation 3a+6=0 gives us a=-2. Therefore, the non-permissible replacement for a is -2.

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