Question

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

Answer 1

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

Explanation:

We have to choose a solution in which the point (4, 1) works.

A) g(x) = 1/4(x^2) = 1/4(4^2) = 1/4(16) = 4 ≠ 1

B) g(x) = (1/2 x)^2 = (1/2 * 4)^2 = 2^2 = 4 ≠ 1

C) g(x) = 4(x^2) = 4(4^2) = 4(16) = 64 ≠ 1

D) g(x) = (1/4 x)^2 = (1/4 * 4)^2 = 1^2 = 1