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2 votes
Find the inverse of this function. Show your steps.

Hi, so, I'm like halfway done, but can you show me the steps to get to the inverse of this function, please? Also, is was what I have so far correct?
Thanks so much if you help!

User Andrew Ray
by
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1 Answer

13 votes
13 votes

Answer:

Explanation:

First, replace f(x) with y . ...

Replace every x with a y and replace every y with an x .

Solve the equation from Step 2 for y . ...

Replace y with f−1(x) f − 1 ( x ) . ...

Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.

User ClayRay
by
3.1k points
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