Question

what is the domain of the function y=ln(12-4x/5)

Answer 1

$\ln x$ has a domain of $x>0$, so $\ln\left(12-\dfrac{4x}5\right)$ has a domain of

$12-\dfrac{4x}5>0\implies12>\dfrac{4x}5\implies x<15$

Answer 2

Answer:

The domain of the function is  $x<3$                                

Step-by-step explanation:

Given : Function $y=\ln (\frac{12-4x}{5})$

To find : What is the domain of the function ?

Solution :

Domain is defined as the set of possible values which define the function.

We know that, log negative is not defined.

So, we will get the inequality  in the function.

$\ln (\frac{12-4x}{5})>0$

$\frac{12-4x}{5}>0$

$12-4x>0$

$-4x>-12$

$x<3$

Therefore, The domain of the function is  $x<3$