If
f X Y : − be a function defined by y = f (x) such that f is both one-one and onto
then there exists a unique function
g Y X : − such that for each
y Y g y x = , ( )
iff
y f x = ( )
. The
function g so defined is called the inverse of f and denoted as
( ) ( )
1
f x g x −
= .
If
f R R : →
be a invertible function such that
( ) ( )
1
f x g x −
=
and
1 2 x x,
are two distinct roots of
the equation
f x g x ( ) = ( )
. Then value of
( 2 1 ) ( )
2 1
g x g x
x x
−
−
Options:
(a) must be −1
(b) must be 1
(c) may be 3
(d) cannot determine
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Answer:
I think option C!!!!!!!!!
Step-by-step explanation:
C
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