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7

Show that the function f : R – {3} → R – {1} given by is a bijection.

9

If f: → R and g: [–1, 1] → R be defined as f(x) = tan x and respectively. Describe fog and gof.

8

If, show that (fof)(x) = x for all. What is the inverse of f?

16

Let be a function defined by f(x) = cos[x]. Write range (f).