Question

Find the domain of using the interval notation
f(x)= square root of 6x-3

Answer 1

GIVEN

• f(x) = √(6x - 3)

FORMULA

• 6x - 3 ≥ 0

SOLUTION

Adding 3 to both sides

• 6x ≥ 3

Dividing both sides by 6

• x ≥ 3/6

Simplify

• x ≥ 1/2

ANSWER

• Domain of f(x) is all real numbers greater than or equal to 1/2. [1/2, +∞).