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Difficult

Compositions at a Value

GRE-HXQJEZ

Compare Quantity A and Quantity B.

Let $f(x)$ be the function $f(x)=3{ x }^{ -3 }$ and let $g(x)$ be the function $g(x)=4{ x }^{ 2 }$.

Quantity A: $f(g(2))$

Quantity B: $g(f(2))$

Which of the following statements is true?

A

Quantity A is greater.

B

Quantity B is greater.

C

The two quantities are equal.

D

The relationship cannot be determined from the information given.