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sol_domain_range_1 - "(x ~ G> t>o Glk(j €> j'0...

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Free From www.analyzemath.com Calculus Worksheet: Domain and Rane:e (1) 1. Find the domain of the following functions 1 a) f(x) = x-2 1 b) g(x) = x4+2 c) hex) = In(x2 -9) 1- 'f-. - c,\ > 0 d) i(x)=J2-.Jx+2 LoV\ck h\i~ ll) CO~d \ h(J\'\ (1.-) X+2-) 0 /' X-)-L /" Free From www.analyzemath.com
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1 e) j(x)=~2 x - )('1_L l' 0 1 f) k(x) = 2-.Jx2 -1 CO~\.\-\cM (11 : Co~~~(l, ( g) I (x) = .J x + 8 (x-6)~1-4 X'--l :;:0 =") "-t C-I>o,-QuU>+,po) L~JXL--\ =f 0 _) y =t XL_I )( -=f ± ss=- t) u V't'-AJ II\. ' [~'1 -f~) l! (-115 -I) U (,) ~) U( VSr,y w~ l' h 1M- l\)~ Co~~J:~\''''- 0--) ~ W\'~~!<Mb) : )(-t-& :> 0 >'>-~ ..- / ~";'-b-::f <.? X '* b. l)( \ - 4 '>.::> -") X t t: pc I - Lj) V ( It J + po) Do","'-"': [-~)-L,)UL 1.,)6) u(bJ-+b<') 2. Find the range of the following functions b) g(x) = 2 +.Jx+ 5 ~S- ~O '-) .2 + ~+s- ) 2- ~/ 'jcn Free From www.analyzemath.com
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c) h(x)=x2+4x+8 2.. = CX-r2-) + ~ d) i(x)=~ x+6 ~o~fle \-~ s.~ tA-tA-~ --) ~TL) L+ 4 ) ~ ~~
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Unformatted text preview: "(x ) ~: G.> + t>o ), Glk.(j €->'--;) j '0--) K qui ~J tAlA IMVe14e.-=) 4 x-= :J x + 6')-=) )(.::: G~ t Lf ~j i-I ex) ~ 6 x L{-x cJomain I cf (xl IJ Jk ra(f-i l{xJ. fa".? e) j(x) = 3x4-4x3 -12x2 (_ ~ '-1 ) II ( '-t j +..x>) leo.ol; j CO~ tf;ci~ {, p"",hJe ) ct"'jrn ~ } o¥, if LX: } n'~{'tlGr kf-k~Jei. Jei><1 ~kl, ~\\'\':\'YW-\'1A Vl<-k(r). I '¥t.~ 01 J LX) ~0) " Ynth.l~ CAb.s-oktL ~~\%~ VM,~t 1 j C?< J 2: -5 L [;~L.) +~). 3. Let f(x) = In(x),x>Oand g(x)=16-x2. Find the domain and range of f(g(x)) t C~ (K)) ::: t(\ k )< L ) ::: L,-,,-, ( \ l.-J'. L ) _y (X (y ree From www.analyzemath.com...
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