Question

what exactly do you mean when you say two functions have the same sign?

Answer 1

Are 2 functions equal when they have same domain, same codomain and same law ?

EXAMPLE 1

f:R→R
x→x2
and

g:R→R+0 (set of positive reals with zero)

x→x2
are equal ?

EXAMPLE 2

f:R→R
x→x2
and

g:R+0→R
x→x2
are equal ?


I hope this will help you
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