Question

F(x) = In (3 - 4x)
What is the domain

Answer 1

Explanation:

The domain is the allowed 'x' values that the function can take on without it being undefined. The natural log function is undefined for negative numbers and zero. It can only take on positive inputs. Therefore, we can set up an inequality:

`3-4x > 0`

Subtrauct 3 on both sides:

`-4x > -3`

Divide both sides by -4. When you divide an inequality by a negative number, you must switch the sign of the inequality:

`x < 3/4`

Therefore, our allowed 'x' values is anything less than 3/4:

-∞ < x < 3/4