Question

For what values of the variable does each of the following expressions make sense? We call this set of values the domain of the expression.

√(-3(1-5x))

Answer 1

The domain of the expression √(-3(1-5x)) is x ≤ 0.2.

Step-by-step explanation:

The domain of the expression √(-3(1-5x)) can be determined by considering the values that make the expression inside the square root function non-negative.

For the expression inside the square root to be non-negative, -3(1-5x) must be greater than or equal to zero.

To solve this inequality, we can divide both sides by -3, but we need to be careful and reverse the direction of the inequality because we are dividing by a negative number.

By solving the inequality, we find that the domain of the expression is x ≤ 0.2.