What is the domain of the function y = ln (-x+3/2) a. x< 2 b. x> 2 c. x< 3 d. x> 3

c

Step-by-step explanation:

Option C is correct.

x < 3

Step-by-step explanation:

The domain of a function is the set of input or arguments values fpr which the function is real and defined.

For a positive value of logarithmic (ln)

,  x > 0.

Given:

⇒

Multiply both sides by 2 we get;

or

or

x -3 < 0          [ ∵a > b ⇔ -a < -b ]

Add 3 both sides we get;

x -3 +3 < 0 +3

Simplify:

x < 3

therefore, the domain for the given function is, x < 3