hey, can someone tell me how to do these? like explain it and all
Find the domain and range of:
a)
do for y = 2tanx.. the domain would be -pi/2 < x < pi/2
the range is all real y
so for to domain should be all real x
and range should be -pi/2 < x < pi/2
But the book said that the range should be -pi< x < pi
I don't get why.
b)
I don't understand this one at all
THANKS IN ADVANCE
you need to find domain of:
if we have any function ( ) that have inverse function ( ) that means that is bijection ( 1 - 1 )
or:
f: A -> B -----> f^{-1}: B -> A and card( A ) = card( B )
( card ---> cardinal number or number of elements in set )
so if I know that:
than it is easy to find
if I know this:
---->
now i know that:
---->
and i know that: ( is range of tan )
also I know:
( is domain of tan )
so from:
f: A -> B -----> f^{-1}: B -> A
now i know that
domain of is R,
and i know that range of is
so range of is
try now b)