Answer:
A. g(x)=1/2x²
Step-by-step explanation:
Given:
f(x)=x²
We have to find g(x)
Since, we are given that g(2)=2
1. g(x)=1/2x²
x=2
g(x)=1/2(2)²
=1/2(4)
=4/2
=2
2. g(x)=1/4x²
x=2,
g(x)=1/4(2)²
=1/4(4)
=4/4
=1
3. g(x)= 2x²
at x=2,
g(x)=2(2)²
=2(4)
=8
4. g(x)=(1/2x)²
x=2
g(x)={1/2(2)}²
=(1/4)²
=1/16
A. g(x)=1/2x² is the answer