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Diketahui f ( x ) = x + 6 dan g ( x ) = x 2 − 8 x + 7 . Tentukan: b. ​ ​ g − 1 ( 2 ) ​

Diketahui  dan . Tentukan:

b.   

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Jawaban terverifikasi

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nilai dari adalah

nilai dari  table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell g to the power of negative 1 end exponent left parenthesis 2 right parenthesis end cell end table adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus-or-minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 11 end cell end table 

Pembahasan

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Diketahui, dan , maka: subtitusikan Jadi, nilai dari adalah

Diketahui, f left parenthesis x right parenthesis equals x plus 6 dan g left parenthesis x right parenthesis equals x squared minus 8 x plus 7, maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell g left parenthesis x right parenthesis end cell equals cell x squared minus 8 x plus 7 end cell row y equals cell x squared minus 8 x plus 7 end cell row cell y plus 9 end cell equals cell x squared minus 8 x plus 7 plus 9 end cell row cell y plus 9 end cell equals cell x squared minus 8 x plus 16 end cell row cell y plus 9 end cell equals cell open parentheses x minus 4 close parentheses squared end cell row cell open parentheses x minus 4 close parentheses squared end cell equals cell y plus 9 end cell row cell x minus 4 end cell equals cell plus-or-minus square root of y plus 9 end root end cell row x equals cell 4 plus-or-minus square root of y plus 9 end root end cell row cell g to the power of negative 1 end exponent left parenthesis x right parenthesis end cell equals cell 4 plus-or-minus square root of x plus 9 end root end cell end table

subtitusikan x equals 2

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell g to the power of negative 1 end exponent left parenthesis 2 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 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus-or-minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 2 plus 9 end root end cell end table table attributes columnalign right center left columnspacing 0px end attributes row cell g to the power of negative 1 end exponent left parenthesis 2 right parenthesis end cell equals cell 4 plus-or-minus square root of 11 end cell end table

Jadi, nilai dari  table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell g to the power of negative 1 end exponent left parenthesis 2 right parenthesis end cell end table adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus-or-minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 11 end cell end table 

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