Question

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

Answer 1

D

Explanation:

Lets look at a value of x = 2

On f(x) = x^2, when x equal 2, y is 2^2 = 4

x = 2

y = 4

On g(x), when x equal 2, y is 1

That is: 1/4th of the value

So, the function of g(x) will be 1/4th of the function of f(x), thus we can say:

`g(x)=(1)/(4)f(x)\\g(x)=(1)/(4)[x^2]\\g(x)=(1)/(4)x^2`

Correct answer choice is D