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.
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