Question

10.
Square Root Functions

Answer 1

[-1/2, ∞ )

Explanation:

Here "4x + 2" is the "argument" (input) of the square root function.

The "argument" (input) of the square root function y = √x is [0, ∞ ]. This tells us that x can NOT be negative.

Similarly, if we set the argument 4x + 2 equal to 0 and solve for x, we get:

4x + 2 = 0, or 4x = -2, or x = -1/2. So long as x ≥ -1/2, the function y = 4√(4x + 2) is defined. In other words, the domain of y = 4√(4x + 2) is

x ≥ -1/2 or [-1/2, ∞ )