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-\frac{4x}5\right)` has a domain of

`12-\frac{4x}5>0\implies12>\frac{4x}5\implies x<15`

Answer 2

The domain of the function is
`x<3`

Explanation:

Given : Function
`y=\ln ((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 ((12-4x)/(5))>0`

`(12-4x)/(5)>0`

`12-4x>0`

`-4x>-12`

`x<3`

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