Page 49 - Math SL HB Sem 1

I,-UNCl'I()NS , EQtJATT0N s, INE()tJAt.I.tIES

lixzrmr> le4

!":.'1* tlre lunction g: {_r:_l< r < 2 }r_>.&, where g(x) x, +2
=
a) Find g(- l) and g(2)
b) Determine rhe range of g (use (itX))

'xtIt,tilr,l'rt()xs l

lirr attl l,uvo real furrctiulrs Lll t ) l<,y
_
I G) anrl g: tl" r,'-> R.y g(x), defined over
tlrrrrrains cl land tl resp".riu"iy. ,f," ii,f f,,'*irgir;:#;'
r
oP!]IL{.I'ION
I{IJI,Ii AND I)ON4AIN

U+sx,r)-f\x).ts(x)
Ad d ition
d r,r=d, r-tdr

U - e)$) -
Su btr':rction "/(,.) -s(,r)
dr_r =d, r-t cl r

:
.
U sxx) /g)x g(x)
NIU lt il)lica ri0n
d - d, r:clr
/ 1 ,; - /!')..q1
r {(.r) ,y , o
l)iyisio n
-tl ettl \
I , - {r:g(_r) -{)l