What is the domain of the function y=In [-x+3/2]

The domain of the logarithm is composed by all points that make its argument strictly positive.
So, we want
[tex] \dfrac{-x+3}{2}>0 [/tex]
Multiply both sides by 2:
[tex] -x+3>0 [/tex]
Add x to both sides:
[tex] 3>x \iff x<3 [/tex]
Answer:
the answer is x is less than 3
Step-by-step explanation: