College

Select the correct answer.

Consider function \( f \).

\[ f(x) = 2x^2 \]

What is the value of \((f \circ f)(x)\)?

A. 164
B. \(4x^4\)
C. 824
D. 44

Answer :

Final answer:

The value of (ƒ o f)(x) is 8x⁴.


Explanation:

To find the value of (ƒ o f)(x), we need to perform composition of functions. The composition of two functions ƒ and g, denoted as (ƒ o g)(x), can be found by substituting g(x) into ƒ(x). In this case, we have ƒ(x) = 2x² and we need to substitute f(x) into itself: (ƒ o f)(x) = ƒ(ƒ(x)) = ƒ(2x²) = 2(2x²)² = 2(4x⁴) = 8x⁴. Therefore, the value of (ƒ o f)(x) is 8x⁴.


Learn more about Composition of functions here:

https://brainly.com/question/30143914