Pertanyaan

Diketahui f ( x ) = 3 x + 2 dan g ( x ) = x + 2 , tentukan ( f o g ) − 1 ( x )

Diketahui $f (x) = 3 x + 2$ dan $g (x) = x + 2$ , tentukan $(f o g)^{- 1} (x)$

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Pembahasan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f ring operator g left parenthesis x right parenthesis end cell equals cell 3 left parenthesis x plus 2 right parenthesis plus 2 end cell row blank equals cell 3 x plus 6 plus 2 end cell row blank equals cell 3 x plus 8 end cell end table end style

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row y equals cell 3 x plus 8 end cell row cell y minus 8 end cell equals cell 3 x end cell row x equals cell fraction numerator y minus 8 over denominator 3 end fraction end cell row blank blank blank row cell left parenthesis f ring operator g right parenthesis to the power of negative 1 end exponent left parenthesis x right parenthesis end cell equals cell fraction numerator x minus 8 over denominator 3 end fraction end cell end table end style$