iz’u 3 f (x) =
+ 4 }kjk iznÙk Qyu f : R+
[ 4 ∞) ij fopkj dhft;sA
fl) dhft;s fd f O;qRØe.kh; gS rFkk f dk izfrykse
,
(y) =
− }kjk izkIr gksrk gS] tgk¡ R
+ lHkh _.ksÙkj okLrfod la[;kvksa dk
leqPp; gSA
vad & 4
Q.3 Consider the function f : R+
[4 ∞) given by f (x) =
+ 4 . show
that f is invertible and the inverse of f is obtain by
(y) =
− where R+
is the set of all non negative Integers.
iz’u 4 fl) dhft;s %& vad & 4
√ + − √ −
√ + + √ +
=
-
tgk¡
√
≤ ≤
Q.4 Prove that :-
√ + − √ −
√ + + √ +
=
-
where
√
≤ ≤
iz’u 5 lehdj.k +
=
dks gy dhft;sA vius mÙkj
dh iqf"V dhft;sA
vad & 4
Q.5 Solve that equation +
=
justify your
answer.
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