Verified answer

f(x) = 4x + 4

g(x) = 1 - x²

a)

f(g(0)) = 4(1 - 0²) + 4

= 8 <===Answer

b)

g(f(0)) = 1 - (4(0) + 4)²

= 1 - 16

=-15 <==Answer

4

f ( g ( x ) ) = f ( 1 - x ² ) = 4 ( 1 - x ² ) + 4 = 8 - 4 x ²

f ( g ( 0 ) ) = 8

g ( f ( x ) = g ( 4x + 4 ) = 1 - ( 4x + 4 ) ²

g ( f ( 0 ) ) = 1 - 16 = - 15

first your going to take g(0).

g(0)= 1-0^2= 1.

then take f(g). 4*(1)+4=8

now for b it's the same thing but the other way around.

take f(0)

f(0)= 4*0+4=4

g(4)= 1-4^2=-15

a)

g(0) = 1 - 0^2 = 1

f(g(0)) = f(1) = 4(1) + 4 = 8

b)

f(0) = 4(0) + 4 = 4

g(f(0)) = g(4) = 1 - 4^2 = 1 - 16 = -15

a) g(0) = 1 - 0

= 1

f(g(0)) = f(1)

= 4(1) + 4

= 8

b) f(0) = 4(0) + 4

= 4

g(f(0)) = g(4)

= 1- 4^2

= -15

hope this helps :D

a)

g(x)=1-x^2

g(0)=1-0^2=1(jus put x=0)

f(x)=4x+4

f(g(0))=f(1)=4+4=8

b)

f(x)=4x+4

f(0)=4

g(f(0))=1-4^2=1-16=-15

hope thats the right ans and the soln helped!

a) 4+4=8

b) 1-16

-15