Pertanyaan

Diketahui rumus fungsi f ( x ) = 3 x − 9 dan g ( x ) = 2 x 2 − 1 . Maka tentukan nilai dari g − 1 ( x ) = ...

Diketahui rumus fungsi $f (x) = 3 x - 9 dan g (x) = 2 x^{2} - 1$ . Maka tentukan nilai dari $g^{- 1} (x) = ...$

S. Surya

Master Teacher

Jawaban terverifikasi

Jawaban

rumus fungsi .

rumus fungsi $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell g to the power of negative 1 end exponent left parenthesis x right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of fraction numerator x plus 1 over denominator 2 end fraction end root end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table greater than table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 1 end table$ .

Pembahasan

Diasumsikan yang ditanyakan adalah rumus fungsi Jadi, rumus fungsi .

Diasumsikan yang ditanyakan adalah rumus fungsi g to the power of negative 1 end exponent

$table attributes columnalign right center left columnspacing 0px end attributes row cell g left parenthesis x right parenthesis end cell equals cell 2 x squared minus 1 end cell row y equals cell 2 x squared minus 1 end cell row cell y plus 1 end cell equals cell 2 x squared end cell row cell fraction numerator y plus 1 over denominator 2 end fraction end cell equals cell x squared end cell row cell square root of fraction numerator y plus 1 over denominator 2 end fraction end root end cell equals x row cell square root of fraction numerator y plus 1 over denominator 2 end fraction end root end cell equals cell g to the power of negative 1 end exponent left parenthesis y right parenthesis end cell row cell square root of fraction numerator x plus 1 over denominator 2 end fraction end root end cell equals cell g to the power of negative 1 end exponent left parenthesis x right parenthesis end cell row cell g to the power of negative 1 end exponent left parenthesis x right parenthesis end cell equals cell square root of fraction numerator x plus 1 over denominator 2 end fraction end root comma space x greater than negative 1 end cell end table$

Jadi, rumus fungsi $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell g to the power of negative 1 end exponent left parenthesis x right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of fraction numerator x plus 1 over denominator 2 end fraction end root end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table greater than table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 1 end table$ .