Define f : R → R and g : R → R by the rules f(x) = 3.x – 2 for all x E R and g(x)= x² +3 for all x E R. (i) Is f one-to-one? Prove or give a counterexample. (ii) Is g one-to-one? Prove or give a counterexample.
Define f : R → R and g : R → R by the rules f(x) = 3.x – 2 for all x E R and g(x)= x² +3 for all x E R. (i) Is f one-to-one? Prove or give a counterexample. (ii) Is g one-to-one? Prove or give a counterexample.
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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