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Answer:
<u>Domain = R - {3/2}</u>
Step-by-step explanation:
The domain of a rational function consists of all the real numbers x except those for which the denominator is 0
The given function is :
We need to find the zeros of the denominator
∴ 2x - 3 = 0 ⇒ add 3 to both sides
∴ 2x = 3 ⇒ divide both side by 2
∴ x = 3/2
The domain will be all real number except the zeros of the denominator.
So, Domain = R - {3/2}
Also, see the attached figure that represents the given function.
