Answer:
The domain is all real numbers, x, such that x ≤ 4/3.
The range is all real numbers, y, such that y ≥ 0.
Explanation:
The domain is the set of values that can be substituted for x.
The expression inside the square root cannot be negative; therefore, it must be zero or positive.
4 - 3x ≥ 0
-3x ≥ -4
x ≤ 4/3
The domain is: x ≤ 4/3
The range is the set of value that can be substituted for y.
When all numbers of the domain are used for x, and then the square root is taken, the smallest value that the square root can have is zero. Therefore, y can be all real numbers greater than or equal to 0.
The range is: y ≥ 0