Question

What is the domain of the function y = ln ((-x+3)/2)

Answer 1

Answer:

The Domain is x < 3

Step-by-step explanation:

We know that ln(x) is defined for all real numbers that are greater than zero, or x > 0.

Knowing that we must make the inside of ln(x) greater than 0 so:

$\frac{-x+3}{2} > 0$

Multiply both sides by 2:

$-x+3>0$

Add x to both sides:

$3 > x$ or $x$