how do u calculate an inverse function of an equation
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Answer:
Step-by-step explanation:
Given the function
f ( x )
we want to find the inverse function,
f − 1 ( x )
. 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.
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