( )f x

0 5x

( )g x

2 4x Domain: Domain:

1) f(0) = 8 2) f(3) = -1 3) g(-2) = -2 4) g(2) = 0

5) f(g(0)) = f(2) = 0 6) f(g(-2)) = f(-2) = undefined

7) f(g(2)) = f(0) = 8 8) f(g(-1)) = f(1) = 3

( )f x

0 5x

( )g x

2 4x Domain: Domain:

9) g(f(3)) = g(-1) =1 10) g(f(2)) = g(0) = 2

11) g(f(1)) = g(3) = 1 12) g(f(0)) = g(8) = undefined

13) f(f(4)) = 8 14) g(g(0)) = g(2) = 0f(0) =

( )f x

0 5x

( )g x

2 4x Domain: Domain:

15) g(f((g(4)))= g(f(4)) = 2g(0)) =

16) When is f(g(x)) = 8 On the graph of f(x) what x value gives us 8 ?

So g(x) = 0 On the graph of g(x) what x value gives us 0 ?

x = 2x also equals some number between -2 and -1

( )f x

0 5x

( )g x

2 4x Domain: Domain:

17) When is g(f(x)) = 4

So f(x) = 4

x = about .8

19) Is it possible for g(f(x)) = -3 ?18) Is it possible for f(g(x)) = -1 ?

( ) 3 8f x x 2( ) 2g x x 2( )

3

xh x

( (3))f g 2(3) 2(3)

2(9)

18

g

(18)f3(18) 8

54 8

46