Find the inverse of each of the given functions

first, replace  

f

(

x

)

with  

y

. this is done to make the rest of the process easier.

replace every  

x

with a  

y

and replace every  

y

with an  

x

.

solve the equation from step 2 for  

y

. this is the step where mistakes are most often made so be careful with this step.

replace  

y

with  

f

−

1

(

x

)

. in other words, we’ve managed to find the inverse at this point!

verify your work by checking that

(

f

∘

f

−

1

)

(

x

)

=

x

and

(

f

−

1

∘

f

)

(

x

)

=

x

are both true. this work can sometimes be messy making it easy to make mistakes so again be careful.