Question

Find the domain of the function f of x equals square root of the quantity twelve x plus twenty four

Answer 1

f(x) = √(12x + 24)
The equation will become discontinuous if the value within the square root becomes less than zero. Therefore, it must be greater than or equal to zero.
12x + 24 ≥ 0
x ≥ -2
Domain: -2 ≤ x < ∞

Answer 2

f ( x ) = √( 12 x + 24)
12 x + 24 ≥ 0
12 x ≥ - 24
x ≥ - 24 : 12
x ≥ - 2
Answer:
The domain of the function is:
x ∈ [ - 2, + ∞ )