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

Misalkan  dan , tentukanlah:

d.  

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Jawaban terverifikasi

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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 left parenthesis g ring operator f right parenthesis 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 plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 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 left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis end cell equals cell g left parenthesis f left parenthesis x right parenthesis right parenthesis end cell row blank equals cell 1 third left parenthesis negative x minus 9 right parenthesis plus 4 end cell row blank equals cell negative 1 third x minus 3 plus 4 end cell row blank equals cell negative 1 third x plus 1 end cell row blank blank blank row cell left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis end cell equals cell negative 1 third x plus 1 end cell row y equals cell negative 1 third x plus 1 end cell row cell y minus 1 end cell equals cell negative 1 third x end cell row x equals cell negative 3 left parenthesis y minus 1 right parenthesis end cell row x equals cell negative 3 y plus 3 end cell row cell left parenthesis g ring operator f right parenthesis to the power of negative 1 end exponent left parenthesis x right parenthesis end cell equals cell negative 3 x plus 3 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 left parenthesis g ring operator f right parenthesis 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 plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table end style.

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