Question

select the correct answer.
consider function f.
$f(x) = 2x^2$
what is the value of $(f \circ f)(x)$?
a. $4x^2$
b. $8x^4$
c. $16x^4$
d. $4x^4$

Explanation:

Step1: Define composite function

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

Step2: Substitute $f(x)$ into itself

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

Step3: Apply function rule to $2x^2$

$f(2x^2) = 2(2x^2)^2 = 2 \cdot 4x^4 = 8x^4$

Answer:

B. $8x^4$