Question

How do you find inverses

Answer 1

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

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

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

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

5. 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.

Explanation:

Answer 2

How To Find Inverses:

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

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

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

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

5. 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.