Page 19 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI

fJekJh^1 L cbB

jZbL fdZsk j?, v'w/B (gqGkt y/so) B'N

gqPB nB[;ko,

fJ; soQK f fBwB nkb/y d[nkok ftnes j[zdk j?L

feT[Ai' f d/ d[nkok gqGkt y/so dk jo/e nt:t, ;w[Zu {0, 1, 4} d/ fe;h ftbZyD nt:t Bkb
r[fDs (connected) js/ ns/ ;w[Zu {0, 1, 4} d/ e'Jh th d' iK tZx nt:t gqGkt y/so d/ fJZe jh
nt:t Bkb r[fDs BjhA jB.
2
fJ; soQK f fJZe cbB B{z do;kT[Adk j? fijVk ;{so f (x) = x d[nkok gfoGkfPs j[zdk j?
fi;dk gok; = {0, 1, 4}H
T[Zso

1
T[dkjoD 19H i/eo f (x) = 1 + 2x ns/ g (x) = x j't/, sK f {g(x)} – g {f(x)} dk wkB gsk
2
eo'.
jZbL f (x) = 1 + 2x ftZu x d/ ;EkB s/ g (x) oZyD s/
 1 
f {g (x) = 1 + 2g(x) = 1 + 2 ⋅  x = 1 + x

 2 
1
fJ;h soQK g(x) = x ftZu x d/ ;EkB s/ f (x) oZyD s/
2

T[Zso

:
T[dkjoD 20H i/eo cbB fR → R j/m nB[;ko gfoGkfPs j'D

sK f (2), f (4), f (–1) ns/ f (–3) dk wkB gsk eo'.

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