Find the Inverse
Fun Facts
Composition
Transformations
100
What is the inverse of (2x+3)/4
What is 2x-(3/2)
100
What is the notation for inverse function?
What is 
100
Find g(3)
g(x)=2x+7
13
100
If we have a function f(x), and we apply f(x) - 2, how will the graph move?
down 2 units
200
What is the inverse of 3x+1
What is (x-1)/3
200
The graph of a function that passes through the point (-3,4). What point must lie on the graph of the function's inverse?
What is (4,-3)
200
Evaluate f(3)= (6x+3)/3
What is 7?
200
If we have a function f(x) and we want to transform the function to become g(x).
f(x) =abs(x)
g(x) = 2abs(x) - 1
.
It will make a vertical stretch by a factor of 2.
300
The inverse of g(x)=(8-5x)/4
What is (4x-8)/-5
300
In order to graph the inverse of a function, you must reflect the graph over this line.
What is y=x?
300
Simplify and evaluate composition of function g(f(x)) for
f(x)=-x+1, g(x)=2x-5
What is -2x-3
300
If we have a function f(x) = x2 and we want to transform the function to become g(x) = (x-2)2. How will it move the graph?
It will move the graph right 2 units.
400
g(x) = 1/2(x-6)
What is 2x+6
400
When given the inputs and outputs of a function but not the actual function, I know the following information about my inverse function.
What is the input and output of my inverse function can be found by interchanging x & y of my original function.
400
Evaluate f(g(-3)) when
f(x) = x2-3 g(x) = 4x-5
What is 286?
400
We want to move the function f(x) = x2 over to the right 3 units. We do the following to the function. Write the answer using g(x).
g(x) = (x-3)2
500
f(x) =x2 +4
What is sq rt(x-4)
500
The inverse operation of squaring a function.
What is square rooting?
500
Evaluate g(f(x)) when
and
f(x) = 3x + 4
What is (3x-2)/5
500
We want to move the function f(x) over to the left 2 units and down 4 units. We do the following to the function. Write the answer using g(x).
f(x) = absx
g(x) = abs(x +2) -4