The option B is the correct answer i.e. the function g(x) can be defined as g(x) = ((1/2)x)².
What is a function?
A function is defined as a relationship between a set of inputs that each have one output.
How to solve this problem?
Notice that the function g(x) passes through the point (2,1). So, the functional value of g(x) at x = 2, i.e. g(2) = 1.
Check which option match this criterion.
Now, for option A,
g(x) = (1/2)x²
and g(2) = (1/2)×2² = (1/2)×4 = 4/2 = 2 ≠ 1
So, option A is incorrect.
For option B,
g(x) = ((1/2)x)²
and g(2) = ((1/2)×2)² = (2/2)² = 1² = 1
So, option B is correct.
Therefore option B is the correct answer i.e. the function g(x) can be defined as g(x) = ((1/2)x)².
Learn more about functions here -
https://brainly.com/question/20317632
#SPJ2
