3. A) For a function f: R → R defined by ƒ(x) = x³ – 4, find the following, usingimages and inverse images, given that A = {-1, 1, 2} andB = {-5, 4, 12, 23, 60}i) f-¹(B) NAii) ƒ(A) u ƒ−¹(B)B) Show if the expression f(x) = x³ – 4 defined in A) above has an inverse byfirst finding out if it is bijective. Write its inverse if it has.

Answered: Image /qna-images/answer/49fece22-34e9-491d-b203-8ef15d4d8c20.jpg

3. A) For a function f: R → R defined by f(x) = x³ - 4, find the following, using images and inverse images, given that A = {-1, 1, 2} and B = {-5,4,-12, 23,60} i) f-¹(B) NA ii) f(A) Uf-¹(B) B) Show if the expression f(x) = x³ - 4 defined in A) above has an inverse by first finding out if it is bijective. Write its inverse if it has.

3. A) For a function f: R → R defined by f(x) = x³ - 4, find the following, using images and inverse images, given that A = {-1, 1, 2} and B = {-5,4,-12, 23,60} i) f-¹(B) NA ii) f(A) Uf-¹(B) B) Show if the expression f(x) = x³ - 4 defined in A) above has an inverse by first finding out if it is bijective. Write its inverse if it has.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.1: Inverse Functions

Problem 56E

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