Question

Find part A and part B. Please show all work so I can practice how to do it. Thank you I appreciate it!!!

Answer 1

a) f(g(0)) = 16.

b) g(f(0))=2.

To find f(g(0)), we first need to find g(0) and then plug that value into f(x). Similarly, for g(f(0)), we find f (0) and then plug that value into g(x).

Let's calculate:

(a) f(g(0)):

First, find g(0): g(0) 3 (0)2 = 3

Now, plug g (0) into f(x): f(g(0)) = f(3) = 53+1=15 + 1 = 16

So, f(g(0)) = 16.

(b) g(f(0)):

First, find f (0): f(0)=50+1=1

Now, plug f(0) into g(x):

g(f(0))=g(1)=3−
`(1)^2` =3−1=2

So, g(f(0))=2.