Question

What is the domain of sqrt 3x-3?

Answer 1

x ≥1 /[ 1,∞ )

Explanation:

To find the domain, where expression is defined let

√3x-3≥0

3x-3≥0

3x≥3

x≥1

As domain is all the values of x where the expression is defined, hence the domain becomes [1,∞) !

Answer 2

For this case we must find the domain of the following expression:

`\sqrt {3x-3}`

The domain will be given by all the values for which the function is defined. For the given expression to be defined, the argument of the root must be positive. That is to say:

`3x-3 \geq0\\3x \geq0 + 3\\3x \geq3\\\x \geq \frac {3} {3}\\x \geq1`

Thus, the domain will be given by all the numbers greater than or equal to 1.

Answer:

Domain:
`x \geq1`