Find the Domain (3a+2)/(2a-4)

Problem

(3*a+2)/(2*a−4)

Solution

1. Identify the type of expression. This is a rational function, which is defined for all real numbers except where the denominator is equal to zero.

2. Set the denominator equal to zero to find the excluded values.

2*a−4=0

3. Solve for a by adding 4 to both sides.

2*a=4

4. Divide both sides by 2 to isolate the variable.

a=2

5. Determine the domain by excluding the value that makes the denominator zero. The domain consists of all real numbers except a=2

Final Answer

Domain: *{a|a∈ℝ,a≠2}

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