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(f°g)(x) = f(g(x)) = 2(g(x)) – 7oe Replace x by g(x)ncbesb1diod or nommon = 2 (x2 + 4x + 4) – 7 bont Replace g(x) by x2 + 4x + 4 =2x2 + 8x + 1 Apply Distribution Law and Combine like terms Thus (f g)(x) = 2x2 + 8x + 1 STUDENT PLAYSHOP: WRITTEN WORKS I. As a dependable Columbanite, determine whether each statement is TRUE or FALSE. Show your complete and neat solution to prove your answer. (0(-1).d 1. If f(x) = x-4 and g(x) = x + 5, then (f-g)(x) = 2 ohuloe dt saimsio (8-S+ )+ ()- (2- (x)g bas (x) biDA 2. If f(x) = 5x -4 and g(x) = 3x + 5, then (f+g)(x) =8x + 1 mo anoionul lo sonsoib adt sniolod (x) moni (x)g asdu arst olil ouidmo ooint odi lotonborgaonianoto 3. If f(x) = 5x -4 and g(x) = 3x + 5, then (fg)(x) = 5x + 4 ()ge(x)-() (E-S+) (S-XS)= less than enet blil anidio (x)g(x) (x) 7. II. Find a.) (f•g)(x) and b.) (g °f)(x). Show your complete and neat solution. xe)- 4. f(x) = x2 + 3, g(x) =5x + 15 gdtiw Inoltonut ordi to nobiRogrmo) sT olterpo arli vd botonab el bns glvd bosonsb at i (()all= ()( 1) colbnut noltieogutoo edtlo nisrcob oT bns t lo nismob oilt ai ai x Jedi doue x lls lo Joe srlt al

(f°g)(x) = f(g(x)) = 2(g(x)) – 7oe Replace x by g(x)ncbesb1diod or nommon = 2 (x2 + 4x + 4) – 7 bont Replace g(x) by x2 + 4x + 4 =2x2 + 8x + 1 Apply Distribution Law and Combine like terms Thus (f g)(x) = 2x2 + 8x + 1 STUDENT PLAYSHOP: WRITTEN WORKS I. As a dependable Columbanite, determine whether each statement is TRUE or FALSE. Show your complete and neat solution to prove your answer. (0(-1).d 1. If f(x) = x-4 and g(x) = x + 5, then (f-g)(x) = 2 ohuloe dt saimsio (8-S+ )+ ()- (2- (x)g bas (x) biDA 2. If f(x) = 5x -4 and g(x) = 3x + 5, then (f+g)(x) =8x + 1 mo anoionul lo sonsoib adt sniolod (x) moni (x)g asdu arst olil ouidmo ooint odi lotonborgaonianoto 3. If f(x) = 5x -4 and g(x) = 3x + 5, then (fg)(x) = 5x + 4 ()ge(x)-() (E-S+) (S-XS)= less than enet blil anidio (x)g(x) (x) 7. II. Find a.) (f•g)(x) and b.) (g °f)(x). Show your complete and neat solution. xe)- 4. f(x) = x2 + 3, g(x) =5x + 15 gdtiw Inoltonut ordi to nobiRogrmo) sT olterpo arli vd botonab el bns glvd bosonsb at i (()all= ()( 1) colbnut noltieogutoo edtlo nisrcob oT bns t lo nismob oilt ai ai x Jedi doue x lls lo Joe srlt al

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Example: Given f(x) = 2x - 7 and g(x) = x2 + 4x + 4, find (fog)(x) and (go )(x) no znoto eroltorioo inaiteuD bas toubonponolid arm2 nicoobear Solution: (f g)(x) = f(g(x)) = 2(g(x)) – 7 bonob Replace x by g(x) = 2 (x2 + 4x + 4) – 7 Idiod ot nommo bubog Replace g(x) by x² + 4x + 4 =2x2 + 8x + 1 Bou) Apply Distribution Law and Combine like terms Thus (f°g)(x) = 2x² + 8x + 1 STUDENT PLAYSHOP: WRITTEN WORKS I. As a dependable Columbanite, determine whether each statement is TRUE or FALSE. Show your complete and neat solution to prove your answer. 1. If f(x) = x -4 and g(x) = x + 5, then (f- g)(x) = 2 mua Srit sniursis (8-S ) + ()- (2-+ (x) bas (x) bDA idinoo 2. If f(x) = 5x -4 and g(x) = 3x + 5, then (f+g)(x) =8x + 1 anoitonul lo som b ot sniroto (x) mori (x)g foRnidu ()8-(-(2)(-1).d aast slil onidmo nosmt sdi lodoubog edt onianoto 3. If f(x) = 5x -4 and g(x) = 3x + 5, then (fg)(x) = 5x + 4 (x)ge(x)-(x)() (E- YS+) (S-XS)= less than o (x)8 \(x) = (x) \7.5 II. Find a.) (f•g)(x) and b.) (g ° f)(x). Show your complete and neat solution. xe)- 4. f(x) = x2 + 3, g(x) =5x + 15 gdtiw Tnolfonut ordfto noiRoqmo) sdT noiaupo arli vd betonob al bns gelvd boionob al Jedt doue x lls lo Joa srlt al gl nolonui noitieogtoo eritlo nisceb ertt bas lo nisrmob oilt ai ei xa lo nismob adi ni ai (x) s AMSEOR AIRAM GENERAL MATHEMATIC ENRIQUE C. Nicol Jr. and MARIA ROSEMARIE PIALDA THOR SUBJEC
Transcribed Image Text:Example: Given f(x) = 2x - 7 and g(x) = x2 + 4x + 4, find (fog)(x) and (go )(x) no znoto eroltorioo inaiteuD bas toubonponolid arm2 nicoobear Solution: (f g)(x) = f(g(x)) = 2(g(x)) – 7 bonob Replace x by g(x) = 2 (x2 + 4x + 4) – 7 Idiod ot nommo bubog Replace g(x) by x² + 4x + 4 =2x2 + 8x + 1 Bou) Apply Distribution Law and Combine like terms Thus (f°g)(x) = 2x² + 8x + 1 STUDENT PLAYSHOP: WRITTEN WORKS I. As a dependable Columbanite, determine whether each statement is TRUE or FALSE. Show your complete and neat solution to prove your answer. 1. If f(x) = x -4 and g(x) = x + 5, then (f- g)(x) = 2 mua Srit sniursis (8-S ) + ()- (2-+ (x) bas (x) bDA idinoo 2. If f(x) = 5x -4 and g(x) = 3x + 5, then (f+g)(x) =8x + 1 anoitonul lo som b ot sniroto (x) mori (x)g foRnidu ()8-(-(2)(-1).d aast slil onidmo nosmt sdi lodoubog edt onianoto 3. If f(x) = 5x -4 and g(x) = 3x + 5, then (fg)(x) = 5x + 4 (x)ge(x)-(x)() (E- YS+) (S-XS)= less than o (x)8 \(x) = (x) \7.5 II. Find a.) (f•g)(x) and b.) (g ° f)(x). Show your complete and neat solution. xe)- 4. f(x) = x2 + 3, g(x) =5x + 15 gdtiw Tnolfonut ordfto noiRoqmo) sdT noiaupo arli vd betonob al bns gelvd boionob al Jedt doue x lls lo Joa srlt al gl nolonui noitieogtoo eritlo nisceb ertt bas lo nisrmob oilt ai ei xa lo nismob adi ni ai (x) s AMSEOR AIRAM GENERAL MATHEMATIC ENRIQUE C. Nicol Jr. and MARIA ROSEMARIE PIALDA THOR SUBJEC
COLUMBAN COLLEGE INC., OLONGAPO CITY SENIOR HIGH SCHOOL – BASIC EDUCATION DEPARTMENT ASINAN cornvn COFTEGE IMC oronevbo CL LEARNER'S MODULE Name of the Student Section: . 5. f(x) = 3x -10 , g(x) = 4x- 11 MMA MOTAUOI JANOITAS TE22ON LKOLEK Geshileupani Inroiten bas noit ol sdi ai netiinw sd nso MO128ATX JANOITARA oels ons 20122 AMOITAS .0 bes elsimondlog SLG BOIC CXSubje: III. As part of boosting your health this time of the pandemic, you ask your parent if you could enroll a a Zumba class that was held online. Your parent agreed to it and the Zumba instructor said that she charges according to the number of participants. This is the list of charges that she said, if there are 20 participants or below, the instructor charges P 400.00 for each participant per month. If the number of participants is between 20 and 30, she charges P 350.00 for each participant per month. If there are 30 participants or more, she charges P 300.00 for each participant per month. Write the piecewise function that describes noitsupwhat the instructor charges. PAo rCD 201A6 UG edrspor
Transcribed Image Text:COLUMBAN COLLEGE INC., OLONGAPO CITY SENIOR HIGH SCHOOL – BASIC EDUCATION DEPARTMENT ASINAN cornvn COFTEGE IMC oronevbo CL LEARNER'S MODULE Name of the Student Section: . 5. f(x) = 3x -10 , g(x) = 4x- 11 MMA MOTAUOI JANOITAS TE22ON LKOLEK Geshileupani Inroiten bas noit ol sdi ai netiinw sd nso MO128ATX JANOITARA oels ons 20122 AMOITAS .0 bes elsimondlog SLG BOIC CXSubje: III. As part of boosting your health this time of the pandemic, you ask your parent if you could enroll a a Zumba class that was held online. Your parent agreed to it and the Zumba instructor said that she charges according to the number of participants. This is the list of charges that she said, if there are 20 participants or below, the instructor charges P 400.00 for each participant per month. If the number of participants is between 20 and 30, she charges P 350.00 for each participant per month. If there are 30 participants or more, she charges P 300.00 for each participant per month. Write the piecewise function that describes noitsupwhat the instructor charges. PAo rCD 201A6 UG edrspor
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