Answer: option b.
Explanation:
Given the function f(x):
![f(x)=x^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gd13a4u7jfhi2500q0c3xp0i73vo2psy4f.png)
In order to find
, 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](https://img.qammunity.org/2020/formulas/mathematics/middle-school/l3pjhqg5kdyi2zopqpd3ns7hjkj00iiyzl.png)
Now, you need to simplify:
![(fof)(x)=x^4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/hhpg9978dkpnms8avn0k0cg6fj43csz59o.png)
Finally, to find
you need to substitute
into
, then you get:
![(fof)(0)=(0)^4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8tuuyqgiwiz4mn7lrrt6qzxbn41reu3r4h.png)
![(fof)(0)=0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ll6gj72ph5w8dcalaucva9tnm8kqzptdh4.png)