Vocabulary
Operations
of Functions
of Functions
Composition
of Functions
of Functions
Inverse
of Functions
of Functions
100
Use logical reasoning to show that it is true
What is Prove.
100
Find (f-g)(x) if f(x)=3x+2 and g(x)=2x-5.
What is x+7
100
Find f(2). 
What is 1.
100
Find the inverse of the following set {(4,5), (-9,12), (-3, -7), (9, -2)}.
What is {(5,4), (12, -9), (-7, -3), (-2, 9)}.
200
An operation on two functions that forms a new function.
What is Composition
200
Find (g+h)(x) if g(x)=2x-12 and h(x)=x2+14.
What is x2+2x+2
200
Find f(f(2)). 
What is 4.
200
Find the inverse of the following table. 
300
The function that results from the composition of two functions.
What is Composite Function
300
Find f(x)/g(x) if f(x)=3x+6 and g(x)=9x-12. Solve for the simplest form.
(x+2)/(3x-4), where x cannot be 4/3
300
Given f(x)=2x-2 and g(x)=x2, find g(f(x)).
What is 4x2-8x+4.
300
Find the inverse of the function f(x)=-2x+8.
What is
f^-1 (x)=-1/2x+4
400
Five operations used when performing these operations on functions.
What is addition, subtraction, multiplication, division, and composition.
400
Find (f x g)(2) if f(x)=4x-5 and g(x)=5x.
What is 30
400
Given g(x)=4x-2 and h(x)=8x-6, find g(g(2)).
What is 22.
400
The inverse of the function
f(x)= (x-20)/4
What is f-1(x)=4x+20
500
The form of f(g(x)) represents the operation of what
What is Composition
500
Find (f+g+h)(x) if f(x)=2x2-10, g(x)=3x-2, and h(x)=4x2-4x+8.
What is 6x2-x-4
500
Find f(g(h(x))) if f(x)=4x-3, g(x)=2x+5, h(x)=6x.
What is 48x+17.
500
Determine if the following functions are inverses of each other. f(x)=5x-3 and
g(x)=x/5+3
What is No.