Answer:
A. g(x)= 1/3x²
Step-by-step explanation:
The graph of the function g(x) has a point (3,3) on it.
So
Let's check which of the answer choices is correct:
- A. g(x)= 1/3x²
- g(3) = 1/3*3² = 3
- g(3) = 3
- This is correct
B. g(x)= (1/3x)²
- g(3) = (1/3*3)² = 1
- g(3) = 1 ≠ 3
- Incorrect
C. g(x) = 1/9*x²
- g(3)= 1/9*3²= 1
- g(3) = 1 ≠ 3
- Incorrect
D. g(x)= 3x²
- g(3)= 3*3²= 27
- g(3) = 27 ≠ 3
- Incorrect
Correct choice is A. g(x)= 1/3x²
