The following function is onetoone Find the inverse of the f

The following function is one-to-one. Find the inverse of the function and express it using f^-1 (x) notation. f (x) = (x + 18)^3 f^-1 (x) =

Solution

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Given f(x) = (x + 18)^3               or y = (x + 18)^3

Step 1: Replace x with y and y with x

x = (y + 18)^3

Step 2 : Eliminate y

y = x ^ 1/3 - 18

f^-1(x) = x ^ 1/3 - 18

Solution