Math, asked by businesstimesonline, 8 months ago

how do u calculate an inverse function of an equation​

Answers

Answered by shivangi54317
0

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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