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Fungsi f , g dan h ditentukan oleh f ( x ) = 2 1 ​ x − 8 , g ( x ) = 2 x + 10 dan h ( x ) = x 2 − 2 x + 1 . Rumus ( h ∘ g ∘ f ) ( x ) adalah ....

Fungsi  dan  ditentukan oleh  dan . Rumus  adalah ....

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  2. ...space 

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rumus adalah .

rumus begin mathsize 14px style left parenthesis h ring operator g ring operator f right parenthesis left parenthesis x right parenthesis end style adalah Error converting from MathML to accessible text..

Pembahasan

Diketahui , dan . Ingat bahwa, maka, rumus yaitu Jadi, rumus adalah .

Diketahui begin mathsize 14px style f left parenthesis x right parenthesis equals 1 half x minus 8 end stylebegin mathsize 14px style g left parenthesis x right parenthesis equals 2 x plus 10 end style dan begin mathsize 14px style h left parenthesis x right parenthesis equals x squared minus 2 x plus 1 end style. Ingat bahwa,

begin mathsize 14px style left parenthesis h ring operator g ring operator f right parenthesis left parenthesis x right parenthesis equals h left parenthesis g left parenthesis f left parenthesis x right parenthesis right parenthesis right parenthesis end style

maka, rumus begin mathsize 14px style left parenthesis h ring operator g ring operator f right parenthesis left parenthesis x right parenthesis end style yaitu

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis h ring operator g ring operator f right parenthesis left parenthesis x right parenthesis end cell equals cell h left parenthesis g left parenthesis f left parenthesis x right parenthesis right parenthesis right parenthesis end cell row blank equals cell g left parenthesis f left parenthesis x right parenthesis right parenthesis squared minus 2 g left parenthesis f left parenthesis x right parenthesis right parenthesis plus 1 end cell row blank equals cell open parentheses 2 f left parenthesis x right parenthesis plus 10 close parentheses squared minus 2 times left parenthesis 2 f left parenthesis x right parenthesis plus 10 right parenthesis plus 1 end cell row blank equals cell open parentheses 2 open parentheses 1 half x minus 8 close parentheses plus 10 close parentheses squared minus 2 times open parentheses 2 open parentheses 1 half x minus 8 close parentheses plus 10 close parentheses plus 1 end cell row blank equals cell open parentheses x minus 4 plus 10 close parentheses squared minus 2 left parenthesis x minus 4 plus 10 right parenthesis plus 1 end cell row blank equals cell left parenthesis x plus 6 right parenthesis squared minus 2 left parenthesis x plus 6 right parenthesis plus 1 end cell row blank equals cell x squared plus 12 x plus 36 minus 2 x minus 12 plus 1 end cell row blank equals cell x squared plus 10 x plus 25 end cell end table end style

Jadi, rumus begin mathsize 14px style left parenthesis h ring operator g ring operator f right parenthesis left parenthesis x right parenthesis end style adalah Error converting from MathML to accessible text..

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Jika f ( x ) = 3 x − 5 , g ( x ) = x + 4 dan h ( x ) = 2 x 2 maka nilai ( f ∘ g ∘ h ) ( 3 ) adalah...

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