Select the correct answer. Consider function f. f(x) = 2x² What is the value of (ƒ•ƒ)(x)₂ O A. 8x4 OB. 16x4 OC. 4x4 4x2 D.

asked Jan 7, 2023 73.8k views

15 votes

Select the correct answer.

Consider function f.
f(x) = 2x²
What is the value of (ƒ•ƒ)(x)₂
O A.
8x4
OB. 16x4
OC. 4x4
4x2
D.

4.9k points

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11 votes

Explanation:

$f(x) = 2 {x}^(2)$

$\:$

$= (f \circ f)(x)$

= f(f(x))

$= 2 {x}^(2)$

$= 2 {(2 {x}^(2) )}^(2)$

$= 2(4 {x}^(4) )$

$= 2.4 {x}^(4)$

$= 8 {x}^(4)$

The answer is A.

Radhika answered Jan 13, 2023

4.5k points

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