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Jika g ( x ) = ( 1 − x ) 2 dan ( f ∘ g ) ( x ) = ( x 2 − 2 x ) 2 , nilai f ( 4 3 ​ ) = ...

Jika  dan , nilai ...

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F. Ayudhita

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Untuk , maka Untuk , maka Jadi, jawaban yang tepat adalah E.

begin mathsize 14px style left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis equals f left parenthesis g left parenthesis x right parenthesis right parenthesis f left parenthesis left parenthesis 1 minus x right parenthesis squared right parenthesis equals left parenthesis x squared minus 2 x right parenthesis squared end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell Misal space colon space left parenthesis 1 minus x right parenthesis squared end cell equals cell p space end cell row cell 1 minus x end cell equals cell plus-or-minus square root of p end cell row x equals cell 1 plus-or-minus square root of p end cell row cell x subscript 1 end cell equals cell 1 plus square root of p end cell row cell x subscript 2 end cell equals cell 1 minus square root of p end cell end table end style 

 Untuk Error converting from MathML to accessible text., maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis p right parenthesis end cell equals cell left parenthesis left parenthesis 1 plus square root of p right parenthesis squared minus 2 left parenthesis 1 plus square root of p right parenthesis right parenthesis squared end cell row blank equals cell left parenthesis 1 plus 2 square root of p plus p minus 2 minus 2 square root of p right parenthesis squared space end cell row blank equals cell left parenthesis 1 plus p minus 2 right parenthesis squared space end cell row blank equals cell left parenthesis p minus 1 right parenthesis squared end cell end table end style 

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Untuk Error converting from MathML to accessible text. , maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses p close parentheses end cell equals cell left parenthesis left parenthesis 1 minus square root of p right parenthesis squared minus 2 left parenthesis 1 minus square root of p right parenthesis right parenthesis squared end cell row blank equals cell open parentheses 1 minus 2 square root of p plus p minus 2 plus 2 square root of p close parentheses squared end cell row blank equals cell left parenthesis 1 plus p minus 2 right parenthesis squared end cell row blank equals cell left parenthesis p minus 1 right parenthesis squared end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses 3 over 4 close parentheses end cell equals cell open parentheses 3 over 4 minus 1 close parentheses squared end cell row blank equals cell open parentheses negative 1 fourth close parentheses squared end cell row blank equals cell 1 over 16 end cell end table end style 

Jadi, jawaban yang tepat adalah E.  

 

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Tentukan formula f ( x ) , jika diketahui g ( x ) = 3 x 2 + 1 dan ( f ∘ g ) ( x ) = 9 x 4 − 2 .

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