Inverse Concepts
Finding Inverse Values using Tables
Finding the Inverse of Simple Functions
Finding the Inverse of Complex Functions
Mr. K
100
What happens with the input and output variables when a function is inverted (becomes its inverse)?
They flip/change places with each other!
100
If an input of 3 gives an output of 7 in the table of a function, what would be the output of the inverse function for in input of 7?
3
100
If f(x) = x +6 , find the inverse function f^(-1)(x)
f^(-1)(x) = x-6
100
If f(x) = 2x+5 , find the inverse function f^(-1)(x)
f^(-1)(x) = (x-5)/2
100
Which state is Mr. K originally from?
Wisconsin
200
What is the correct notation for an inverse function?
f^(-1)(x)
200
In a function table, an input of 5 corresponds to an output of 12. What does this mean for the inverse table?
An input of 12 will correspond to an output of 5
200
If f(x) = 4x , find the inverse function f^(-1)(x)
f^(-1)(x) = 1/4x
200
If f(x) = (x/3) - 4 , find the inverse function f^(-1)(x)
f^(-1)(x) = 3(x+4)
200
What is Mr. K's favorite sports team?
Green Bay Packers
300
What happens to the domain and range of a function when it is inverted?
The domain and range switch places:
Domain of parent function is range of inverse function
Range of parent function is domain of inverse function
300
How do you create the table for an inverse function using the table of the original function?
Switch the x and y values for each ordered pair
Flip the input and output columns
300
If
f(x) = x/7 , find the inverse function f^(-1)(x)
f^(-1)(x) = 7x
300
If f(x) = (x-1)/2 , find the inverse function f^(-1)(x)
f^(-1)(x) = 2x+1
300
How old is Mr. K?
28
400
If
f(a)=b
then f^(-1)(b) = ?
a
400
Consider the following function:
What is f^(-1)(4)
3
400
If f(x) = x^2 , find the inverse function
f^(-1)(x)
f^(-1)(x)=sqrt(x)
400
If f(x) = sqrt(x-3 , find the inverse function f^(-1)(x)
f^(-1)(x) = x^2+3
400
What is Mr. K's cat's name?
Chad
500
Complete the following sentence:
"the graphs of a function and its inverse function are a _________ of each other"
Reflection
500
Consider the following function table:
Complete the table for the inverse function, f^(-1)(x)
500
If f(x)= -x , find the inverse function f^(-1)(x)
f^(-1)(x) = -x
500
If f(x) = (x+2)^2 find the inverse function f^(-1)(x)
f^(-1)(x)=sqrt(x)-2
500
What is Mr. K's wife's name?
Annika