Answer: The domain can be written as: (-infinity, -3/2) U (-3/2, infinity)
Step-by-step explanation: To write an equivalent expression, we can simplify the given expression by dividing both the numerator and the denominator by 2. This gives us:
4x+6/2x+3 = (4x+6)/2 * 1/(2x+3) = (2x+3)/2 * 1/(2x+3) = 1/2
The domain of this expression is the set of all real numbers except those that make the denominator zero. Therefore, we exclude x = -3/2 from the domain. The domain can be written as:
(-infinity, -3/2) U (-3/2, infinity)
