Page 15 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI

fJekJh^1 L cbB

1 B'N
T[dkjoD 4H i/eo x R ∈ sK cbB f(x) = dk gqKs (v'w/B) gsk eo'.
x 2 − 9
1 1
jZbL = fJ; soQK x = 3 ns/ x = –3 T[Zs/ ftnzie dk jo Iho' ftZu gqkgs
2
x − 9 (x − 3)(x+ 3)
j[zdk j?, fJ; soQK f (3) ns/ f (-3) dk wkB nfBPfus j' iKdk j?. fJjBK d' wkBK d/ fJbktk x d/
jo/e n;b wkB d/ bJh f (x) dk fJZe fBPfus wkB gqkgs j[zdk j?, fJ; bJh f dk v'w/B iK gqKs 3
ns/ ^3 d/ fJbktk ;zg{oD n;b ;zfynktK dk ;w[Zu j?.
;ze/s ftZu, D (f) = R∼ {3, –3}.
2
T[dkjoD 5H i/eo f (x) = 5x + 8x + 7 sK f (-9) dk wkB gsk eo'.
jZbL

T[Zso
T[dkjoD 6H i/eo f (x) = log, ‘x’ sK f;ZX eo' fe
f (uv) = f (u) + f (v)H
jZbL

;wheoD (1) ns/ (2) Bkb,
f (uv) = f (u) + f (v).
2
2
T[dkjoD 7H i/eo f (x) = x – x j't/ sK f (y + 1) – y dk wkB gsk eo'.
jZbL

T[Zso

1 
À
T[dkjoD 8H i/eo fx ( )= sK f  dk wkB gsk eo'.
4
(1 + tan 2 x) 

jZbL

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