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Misalkan f ( x ) = − x − 9 dan g ( x ) = 3 1 ​ x + 4 , tentukanlah: c. ( f ∘ g ) − 1 ( x )

Misalkan  dan , tentukanlah:

c.  

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S. Indah

Master Teacher

Mahasiswa/Alumni Universitas Lampung

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nilai dari .

nilai dari begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses f ring operator g close parentheses to the power of negative 1 end exponent left parenthesis x right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 39 end table end style.

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Pembahasan

Jadi, nilai dari .

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f ring operator g close parentheses left parenthesis x right parenthesis end cell equals cell f open parentheses g left parenthesis x right parenthesis close parentheses end cell row blank equals cell negative open parentheses 1 third x plus 4 close parentheses minus 9 end cell row blank equals cell negative 1 third x minus 4 minus 9 end cell row blank equals cell negative 1 third x minus 13 end cell row blank blank blank row cell open parentheses f ring operator g close parentheses left parenthesis x right parenthesis end cell equals cell negative 1 third x minus 13 end cell row y equals cell negative 1 third x minus 13 end cell row cell y plus 13 end cell equals cell negative 1 third x end cell row x equals cell negative 3 left parenthesis y plus 13 right parenthesis end cell row x equals cell negative 3 y minus 39 end cell row cell open parentheses f ring operator g close parentheses to the power of negative 1 end exponent left parenthesis x right parenthesis end cell equals cell negative 3 x minus 39 end cell row blank blank blank end table end style

Jadi, nilai dari begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses f ring operator g close parentheses to the power of negative 1 end exponent left parenthesis x right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 39 end table end style.

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