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.
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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