Miscellaneous Exercise on Chapter 1
1 Show that the function f : R → {x ∈ R : – 1 < x < 1} defined by 
( )
1 |
|
x
f x
= +x
,
x ∈ R is one one and onto function 2 Show that the function f : R → R given by f (x) = x3 is injective