Find (fof)(0) f(x)=x^2 a.1 b.0 c.-8 d.-1

Question

asked Jan 20, 2020 57.1k views

2 Answers

Shiri · Answer 1 · 2020-01-25T18:58:41+0000

Answer: option b.

Explanation:

Given the function f(x):

f(x)=x^2

In order to find
(fof)(x) , the first thing you must do is to substitute the function f(x) into the same function f(x). Observe the procedure:

(fof)(x)=(x^2)^2

Now, you need to simplify:

(fof)(x)=x^4

Finally, to find
(fof)(0) you need to substitute
x=0 into
(fof)(x)=x^4 , then you get:

(fof)(0)=(0)^4

(fof)(0)=0