Question

What is the domain of the function y = l n (StartFraction negative x + 3 Over 2 EndFraction)

x less-than 2
x greater-than 2
x less-than 3
x greater-than 3

Answer 1

x < 3 Option C on E2020.

Explanation:

Answer 2

Option (3). x < 3

Explanation:

Given function is a logarithmic function,

`y=\text{ln}[((-x+3))/(2)]`

We know that logarithm is defined for all positive real numbers except zero.

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

(-x + 3) > 0

-x > -3

x < 3

That means the given logarithmic function is defined for all real values lees than 3.

And the domain of the function will be x < 3

Option (3) will be the answer.