f(g(x))
g(f(x))
Inverse
Mixed
100


f(g)=-3x+4 and g(x)=x^2

find    (f@g)(2) 

-8

100

 f(x)=-3x+4 and  g(x)=x^2 find  (g@f)(-2) 

100

100

What must f(g(x)) and g(f(x)) equal in order to prove f(x) and g(x) are inverse functions?

What is x

100

Define  Inverse Function

An inverse function is a function that "undoes" another function.

200

 f(x)=2x^2-x and g(x)=x+6 find  (f@g)(2) 

120

200

f(x)=2x^2-x and  g(x)=x+6  

 (g@f)(2)

12

200

Find the inverse

200

If  h(x)=2x^2+5x-1, then  h(-1) is ...

What is -4?

300

 f(x)=2x^2-x and  g(x)=x+6, find  (f@g)(x) 

2x^2+23x+66

300

 f(x)=2x^2-x  and   g(x)=x+6   

 

(g@f)(x)

2x^2-x+6

300

The inverse of  f(x)=2x+3 

f^-1(x)=(x-3)/2

300

Find 

g^-1(10)

g(x)=(x - 5)^3+2

What is Nalbandian

400

 f(x)=x^2-6x+2 and  g(x)=-2x 

 (f@g)(1) 

18

400

 f(x)=2x+3 and

g(x)=x^2+5

find 

(g@f)(x)

4x^2+12x+14

400

The inverse of f(x)=2x^3-5 

f^-1(x)=root(3)((x+5)/2)

400

Are these inverses? Use a complete sentence

 f(x)=(x-5)/10 

h(x)=10x+5

Yes, 

f(h(x))=x and h(f(x))=x