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