Composition of Functions
f(x)=x-4
g(x)=3x2+6x+9
Find: (f∘g)(x)
3x2+6x+5
f(x)=x2+5x-10
g(x)=4x-2
Find: f(g(1))
4
f(x)=6(x-3)
Find: f-1(x)
f-1(x)=x/6 +3
What is red and smells like paint?
Red Paint!
f(x)=-x-5
g(x)=x2-6x+13
Find: (f∘g)(x)
-x2+6x-18
f(x)=2x-8
g(x)=x2+7x+9
Find: (g∘f)(2)
-3
f(x)=√ x+2
Find: f-1(x)
f-1(x)=x2-2
What can you catch but not throw?
A cold!
f(x)=x2+x+8
g(x)=3x+5
Find: f(g(x))
f(x)=2x-4
g(x)=2x2+4x-8
Find: f(g(-4))
12
f(x)=(x-10)/9
Find: f-1(x)
f-1(x)=9x+10
What asks no questions but must be answered?
A phone!
f(x)=2x2-4x-6
g(x)=2x+7
Find: f(g(x))
8x2+48x+64
f(x)=3x2-2x+2
g(x)=-2x-8
Find: (f∘g)(-5)
10
f(x)=5√x+2
Find: f-1(x)
f-1(x)=x5-2
What has One head, one foot, and four legs?
A bed!
f(x)=2x2-5x-12
g(x)=-2x+2
Find: (f∘g)(x)
8x2-6x-14
f(x)=2x2+2x-3
g(x)=-5x+3
Find: (g∘f)(0)
18
f(x)=x3+6
Find: f-1(x)
f-1(x)=3√x-6
What runs around the yard without moving?
A fence!