Add & subtract inverses
Find the Inverse of:f(x)=x+2
f-1=x-2
Find the inverse: f(x)=2x
f-1(x)=x/2
Find the inverse: f(x)=2x+4
f-1(x)=(x-4)/2
What would you do first when finding an inverse?
Switch x and y
Find the inverse: f(x)=6x-12
Find the inverse of : f(x)=x-7
f-1(x)=x+7
Find the inverse: f(x)=5x
f-1(x)=x/5
Find the inverse: f(x)=3x-6
f-1(x)=(x+6)/3
When finding an inverse, you switch the x and y values before solving for y.
What is the first step in finding an inverse?
Find the inverse: f(x)=4x+8
f-1(x)=x-8/4
Find the inverse of: f(x)=x+10
f-1(x)=x-10
Find the inverse:f(x)=x/3
f-1(x)=3x
Find the inverse: f(x)=5x+15
f-1(x)=x-15/5
After swapping x and y, isolate the new y variable.
What is the second step in finding an inverse?
Find the inverse: f(x)=7x-14
f-1(x)=x+14/7
Find the inverse of: f(x)=x-4
f-1(x)=x+4
Find the inverse: f(x)=4x
f-1(x)=x/4
Find the inverse: f(x)=8x-24
f-1(x)=x+24/8
An inverse “undoes” the original function.
What is the purpose of an inverse function?
Find the inverse: f(x)=x/5+2
f-1(x)=5x-10
Find the inverse:f(x)=x+15
f-1(x)=x-15
Find the inverse: f(x)=x/8
f-1(x)=8x
Find the inverse: f(x)=6x-18
f-1(x)=x+18/6
If a function multiplies by 5, the inverse divides by 5.
What is the opposite operation rule?
Find the inverse: f(x)=3x+9
f-1(x)=x-9/3