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Diketahui  dan . Jika , maka  adalah ...

Diketahui begin mathsize 14px style f left parenthesis x right parenthesis equals 3 x squared minus 5 x plus 2 end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals x squared plus 3 x minus 3 end style. Jika begin mathsize 14px style h left parenthesis x right parenthesis equals f left parenthesis x right parenthesis minus 2 g left parenthesis x right parenthesis end style, maka begin mathsize 14px style h apostrophe left parenthesis x right parenthesis end style adalah ...

Jawaban:

Diketahui begin mathsize 14px style f left parenthesis x right parenthesis equals 3 x squared minus 5 x plus 2 end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals x squared plus 3 x minus 3 end style. Maka:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell h left parenthesis x right parenthesis end cell equals cell f left parenthesis x right parenthesis minus 2 g left parenthesis x right parenthesis end cell row blank equals cell left parenthesis 3 x squared minus 5 x plus 2 right parenthesis minus 2 left parenthesis x squared plus 3 x minus 3 right parenthesis end cell row blank equals cell 3 x squared minus 5 x plus 2 minus 2 x squared minus 6 x plus 6 end cell row blank equals cell x squared minus 11 x plus 8 end cell row blank blank blank row cell h apostrophe left parenthesis x right parenthesis end cell equals cell 2 x minus 11 end cell end table end style 

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