PLS HELP Select the correct answer. Consider function f. f(x) = 2x² What is the value of (f of)(x)? A. B. OC. D. 8x4 16x4 4x4 4x²

asked Aug 14, 2023 141k views

11 votes

PLS HELP

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

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4 votes

Explanation:

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

$\:$

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

= f(f(x))

$= 2 {x}^(2)$

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

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

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

$= 8 {x}^(4)$

The answer is A.

Orin answered Aug 20, 2023

by Orin

6.1k points

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