Compute the inverse of f(x) = x³ + 1. f-¹(x) = ³√x-1 Check your answer by showing that ff¯¹(x)) = 3 f(f-¹(x)) = F-¹(f(x)) +1 =x and f(f(x)) = x. +1
Compute the inverse of f(x) = x³ + 1. f-¹(x) = ³√x-1 Check your answer by showing that ff¯¹(x)) = 3 f(f-¹(x)) = F-¹(f(x)) +1 =x and f(f(x)) = x. +1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Compute the inverse of f(x) = x³ + 1.
3
x-1
f-1(x) =
Check your answer by showing that f(f(x)) = x and f-¹(f(x)) = = X.
f(f-1(x))
f-1(f(x))
=
=
+ 1
+ 1
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