Question

F(x)=x^2. What is g(x)?

A. g(x)= 1/4x^2

B. g(x)= (1/2x)^2

C. g(x)= 2x^2

D. g(x)= 1/2x^2

Answer 1

D. g(x) = 1/2 × x²

Explanation:

we need to pick the function that delivers

g(2) = 2

as the given point shows the coordinates (2, 2).

that means x=2, y=g(x)=2

A. for x=2

1/4 × x² = 1/4 × 2² = 1/4 × 4 = 1

wrong, as we need 2 as result.

B. for x=2

(x/2)² = (2/2)² = 1² = 1

wrong

C. for x=2

2×x² = 2×2² = 2×4 = 8

wrong

D. for x=2

1/2 × x² = 1/2 × 2² = 1/2 × 4 = 2

correct