Question

need an explanation please

Find a formula for the inverse function f-1(x). Show all work to receive credit. Express your answer in functional format. (2 points) f-?(x) = -

Answer 1

Given the function f(x)f(x) we want to find the inverse function, f−1(x)f−1(x).

sold finding the inviare of a function - Giren foy & we want ftcxl. (ad first replace flo) with y. & Replace everyx with y 8 y with a (e) solve the ea from step by for y. Cas Now replace y with ffa which is required. (@2To venity Hind 6f0f 196909526,611 otjock. it sue then answer is right en fas= 8X-2 y = 80-2 Bb C 5342 so y = c +2213 ca o free)QC +2)/3 Any ceg (fotol) ol = f [4'09 .-4627323 - 35262)2 = +2-2 CScanned with God You 24 015 anned with CamScanner

1. First, replace f(x)f(x) with yy. This is done to make the rest of the process easier.
2. Replace every xx with a yy and replace every yy with an xx.
3. Solve the equation from Step 2 for yy. This is the step where mistakes are most often made so

   Given the function f(x)f(x) we want to find the inverse function, f−1(x)f−1(x).

   First, replace f(x)f(x) with yy. This is done to make the rest of the process easier.

   Replace every xx with a yy and replace every yy with an xx.

   Solve the equation from Step 2 for yy. This is the step where mistakes are most often made so be careful with this step.

   Replace yy with f−1(x)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(f∘f−1)(x)=xand(f−1∘f)(x)=x(f−1∘f)(x)=xare both true. If yes then ok.

   be careful with this step.
4. Replace yy with f−1(x)f−1(x). In other words, we’ve managed to find the inverse at this point!
5. Verify your work by checking that(f∘f−1)(x)=x(f∘f−1)(x)=xand(f−1∘f)(x)=x(f−1∘f)(x)=xare both true. If yes then okay.