Homework SourseSolutionfx 31 x3 let fx y y f1 x 31 x3 y Cubic on b
Solution
f(x) = 3(1 - x3)
let f(x) = y ==> y = f-1 (x)
==> 3(1 - x3) = y
Cubic on both sides
==> [3(1 - x3)]3 = y3
==> (1 - x3) = y3
==> x3 = 1 - y3
==> x = 3(1 - y3)
==> f -1(y) = 3(1 - y3)
==> f -1(x) = 3(1 - x3)
Hence inverse of a function 3(1 - x3) is 3(1 - x3)
![! Solutionf(x) = 3(1 - x3) let f(x) = y ==> y = f-1 (x) ==> 3(1 - x3) = y Cubic on both sides ==> [3(1 - x3)]3 = y3 ==> (1 - x3) = y3 ==> x3 = 1](/WebImages/4/solutionfx-31-x3-let-fx-y-y-f1-x-31-x3-y-cubic-on-b-978471-1761502110-0.webp "! Solutionf(x) = 3(1 - x3) let f(x) = y ==> y = f-1 (x) ==> 3(1 - x3) = y Cubic on both sides ==> [3(1 - x3)]3 = y3 ==> (1 - x3) = y3 ==> x3 = 1")
