108 SOLVED PROBLEMS

Question: 3.40

(a) It is helpful to compute a few of the ...

Question: 3.41

Consider the mapping f:S\rightarrow S[/lat...

Question: 3.42

Since g o f is a bijection we have that g is surje...

Question: 3.43

Let \alpha=\operatorname{hcf}(a,\,b).[/lat...

Question: 3.32

Use calculus to determine the graph of f (Fig. S3....

Question: 3.44

(a) Take, for example, f=\mathrm{id}_{\mat...

Question: 3.33

The graph of/is shown in Fig. S3.40.
Since, for ex...

Question: 3.34

Note from the definition of f that f(n) is divisib...

Question: 3.37

Suppose that g(1) = 3 and that f\circ g=g\...

Question: 3.35

It suffices to find g:\mathbb{R}\rightarro...

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