Verified Answer :

b - 2 = 0 since you cannot divide by 0
b = 2 solve for b. this is where the function is undefined

Answer:  The correct option is (2) \(b=2.\)

Step-by-step explanation: We are given to find the exclude value for the following algebraic expression:

\(E=\dfrac{a}{b-2}~~~~~~~~~~~~~~~~~~~~~~(i)\)

We know that

for a rational expression, we must exclude those values for which the denominator of the fraction becomes zero.

So, in equation (i), the excluded value will be given by

\(b-2=0\\\\\Rightarrow b=2.\)

Thus, the required excluded value is \(b=2.\)

Option (2) is CORRECT.

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