The function f: x (to sqrt{4 – 2x}) is defined on the set of real numbers R. Find the domain of f.
-
A.
(x -
B.
(x leq 2) -
C.
(x = 2) -
D.
(x > -2)
Correct Answer: Option B
Explanation
(f : x to sqrt{4 -2x}) defined on the set of real numbers, R, which has range from ((-infty, infty)) but because of the root sign, it is defined from ([0, infty)).
This is because the root of numbers only has real number values from 0 and upwards.
(sqrt{4-2x} geq 0 implies 4-2x geq 0)
(-2x geq -4; x leq 2)