g(x) is also
continuous In particular if λ = – 1, the continuity of f implies continuity of – f (ii)
As a special case of (4) above, if f is the constant function f (x) = λ, then the
function g
λ  defined by 
( )
( )
gx
g x
λ
λ
=
is also continuous wherever g(x) ≠ 0 In
particular, the continuity of g implies continuity of 1
g