Answer:
Domain = R - {3/2}
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 :
[tex]f(x) = \frac{x-5}{2x-3}[/tex]
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.
