10.
Square Root Functions

[-1/2, ∞ )

Step-by-step 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, ∞ )

step-by-step explanation:

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step-by-step explanation: