Pertanyaan

Diketahui f ( x ) = x 2 + 1 3 x + 4 , tentukan f ( 2 ) + f ( 0 ) !

Diketahui $f (x) = \frac{3 x + 4}{x ^{2} + 1}$ , tentukan $f (2) + f (0)$ !

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

hasil dari .

hasil dari

table attributes columnalign right center left columnspacing 0px end attributes row blank blank f end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses 2 close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank f end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank apostrophe end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses 0 close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table 5

Pembahasan

Misalkan: Dengan demikian, hasil dari .

$table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses end cell equals cell fraction numerator 3 x plus 4 over denominator x squared plus 1 end fraction end cell row cell f open parentheses 2 close parentheses end cell equals cell fraction numerator 3 open parentheses 2 close parentheses plus 4 over denominator open parentheses 2 close parentheses squared plus 1 end fraction end cell row blank equals cell fraction numerator 6 plus 4 over denominator 4 plus 1 end fraction end cell row blank equals cell 10 over 5 end cell row blank equals 2 end table$

Misalkan:

u equals 3 x plus 4 rightwards arrow u apostrophe equals 3 v equals x squared plus 1 rightwards arrow v apostrophe equals 2 x

$table attributes columnalign right center left columnspacing 0px end attributes row cell f apostrophe open parentheses x close parentheses end cell equals cell fraction numerator u apostrophe times v minus v apostrophe times u over denominator v squared end fraction end cell row blank equals cell fraction numerator open parentheses 3 close parentheses open parentheses x squared plus 1 close parentheses minus open parentheses 2 x close parentheses open parentheses 3 x plus 4 close parentheses over denominator open parentheses x squared plus 1 close parentheses squared end fraction end cell row blank equals cell fraction numerator 3 x squared plus 3 minus 6 x squared minus 8 x over denominator open parentheses x squared plus 1 close parentheses squared end fraction end cell row blank equals cell fraction numerator negative 3 x squared minus 8 x plus 3 over denominator open parentheses x squared plus 1 close parentheses squared end fraction end cell row cell f apostrophe open parentheses 0 close parentheses end cell equals cell fraction numerator negative 3 open parentheses 0 close parentheses squared minus 8 left parenthesis 0 right parenthesis plus 3 over denominator open parentheses open parentheses 0 close parentheses squared plus 1 close parentheses squared end fraction end cell row blank equals cell 3 over 1 end cell row blank equals 3 end table$

table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses 2 close parentheses plus f apostrophe open parentheses 0 close parentheses end cell equals cell 2 plus 3 end cell row blank equals 5 row blank blank blank end table

Dengan demikian, hasil dari .