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

Question

asked Jun 8, 2021 200k views

2 Answers

KaliCharan · Answer 1 · 2021-06-15T08:58:00+0000

Answer:

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.