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Let B = R − {3}. Define g : B → B by g(t) = 3t/(t − 3) Show that the function g is surjective.  Note: R is the set of real numbers.

Let B = R − {3}. Define g : B → B by g(t) = 3t/(t − 3) Show that the function g is surjective.  Note: R is the set of real numbers.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let B = R − {3}. Define g : B → B by g(t) = 3t/(t − 3)

Show that the function g is surjective.

 Note: R is the set of real numbers. 

Expert Solution
Step 1

We are given that B = R − {3}.

Define g : B → B by g(t) = 3t/(t − 3).

We need to show that g is surjective.

First of all, notice that 3 doesn't belong to B. So, g(t) is defined for all the numbers in B.

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