Composition of Functions
Inverses
Graphing
Function Operations
Final Jeopardy
100
f(x) = 6x-4 g(x) = 2x
Find g(f(x))
g(f(x)) = 12x-8
100
Find the inverse of {(2,-2) (4, 0) (6, -3) (-7, 2)}
{(-2, 2), (0, 4), (-3, 6) (2, -7)}
100
Find the inverse and graph both the function and its inverse. 
100
Let f(x)=2x2+x-3 and g(x)=x-1. Then (f-g)(5) equals what?
48
100
f(x) = -3x2+5 g(x) = -2x+3
Find f(g(x))
(f(g(x)) = -3(-2x+3)2+5
100
Use the composition of functions to determine whether f and g are inverses. MUST SHOW WORK
f(x)=2x-3 and g(x)=(x+3)/2
they are inverses.
100
Find the inverse and graph:
100
If
f (x) = 2x + 4
and
g(x)= 4x^2 - 2x
, what is the value of: (f + g)(2x)
16x^2 + 4
100
Given f(x) = 2x + 3 and
g(x) = –x^2 + 5
find
( f \circg)(x).
–2x^2 + 13
100
Find g–1(x) if g(x) = x2 + 5
sqrt(x – 5)
100
What is the domain restriction needed to make the inverse of the function shown a function? 
[-3,\infty)
100
If
f(x) = x^2 - 1
g(x) = x +1
find
(f / g)(x)
x-1
100
What is the inverse of g(x) = (2-x)/(3+x)?
g-1(x)=(2-3x)/(x+1)
100
f(x) = 3x2-4 g(x) = 3x
Find f(g(3))
f(g(x)) = 3(3x)2-4
f(g(3)) = 239
100
What is the inverse of f(x)= (x+4)3-3?
f-1(x)=(x+3)1/3-4
100
Graph the inverse:
100
Let f(x)=4x-1 and g(x)=2x2+3. find (f*g)(x).
8x3 - 2x2 + 12x - 3