Question

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

Answer 1

the answer is x is less than 3

Explanation:

Answer 2

The domain of the logarithm is composed by all points that make its argument strictly positive.

So, we want

`(-x+3)/(2)>0`

Multiply both sides by 2:

`-x+3>0`

Add x to both sides:

`3>x \iff x<3`