Question

find the domain of y equals 4 multiplied by the square root of the quantity 4 multiplied by x plus 2 end of quantity. a. x is greater than or equal to 1 divided by 2. b. x is greater than or equal to negative the quantity 1 divided by 2 end of quantity. c. x ≥ –2 d. x is greater than 1 divided by 2.

Answer 1

$y=4\sqrt{4(x+2)}\\\\D:4(x+2)\geq 0\ \ \ |divide\ both\ sides\ by\ 4\\\\x+2\geq0\ \ \ |subtract\ 2\ from\ both\ sides\\\\\boxed{x\geq-2}\to\boxed{c.}$