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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 44E
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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc5cb102b-2da8-445c-8120-9910543aeab8%2Fd062ce16-4b3c-4aa0-b9f9-7ed2c1c4f9ca%2F9xzfrdm_processed.png&w=3840&q=75)
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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