3 (option B)
Step-by-step explanation:
f(x) = (x-2)² +3
we are told the domain is all real numbers greater than zero
To get the range, we assign values for x greater than zero
using x = 1, 2, 3, 4
when x = 1
f(x) = (1-2)² +3 = (-1)² + 3
f(x) = 1 + 3 = 4
when x = 2
f(x) = (2-2)² +3 = (0)² + 3
f(x) = 0 + 3 = 3
when x = 3
f(x) = (3-2)² +3 = (1)² + 3
f(x) = 1 +3 = 4
when x = 4
f(x) = (4-2)² +3 = (2)² + 3
f(x) = 4+3 = 7
The range are all f(x) values.
From the above, the lowest number for f(x) is the 3. Then, it increases.
This means that the range is all real numbers greater than or equal to 3 (option B)