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Tentukan rumus dari , ,  dan  untuk  dan  pada  de...

Tentukan rumus dari begin mathsize 14px style f plus g end style, begin mathsize 14px style f minus g end style, begin mathsize 14px style g minus f end style dan begin mathsize 14px style f cross times g end style untuk begin mathsize 14px style f end style dan begin mathsize 14px style g end style pada begin mathsize 14px style R end style dengan ketentuan sebagai berikut:

a. begin mathsize 14px style f left parenthesis x right parenthesis equals 2 x plus 3 space dan space g left parenthesis x right parenthesis equals 3 minus 5 x end style 

Jawaban:

Diketahui  begin mathsize 14px style f left parenthesis x right parenthesis equals 2 x plus 3 space dan space g left parenthesis x right parenthesis equals 3 minus 5 x end style, maka:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis f plus g right parenthesis left parenthesis x right parenthesis end cell equals cell f left parenthesis x right parenthesis plus g left parenthesis x right parenthesis end cell row blank equals cell left parenthesis 2 x plus 3 right parenthesis plus left parenthesis 3 minus 5 x right parenthesis end cell row blank equals cell 2 x plus 3 plus 3 minus 5 x end cell row blank equals cell negative 3 x plus 6 end cell row blank blank blank row cell left parenthesis f minus g right parenthesis left parenthesis x right parenthesis end cell equals cell f left parenthesis x right parenthesis minus g left parenthesis x right parenthesis end cell row blank equals cell left parenthesis 2 x plus 3 right parenthesis minus left parenthesis 3 minus 5 x right parenthesis end cell row blank equals cell 2 x plus 3 minus 3 plus 5 x end cell row blank equals cell 7 x end cell row blank blank blank row cell left parenthesis g minus f right parenthesis left parenthesis x right parenthesis end cell equals cell g left parenthesis x right parenthesis minus f left parenthesis x right parenthesis end cell row blank equals cell left parenthesis 3 minus 5 x right parenthesis minus left parenthesis 2 x plus 3 right parenthesis end cell row blank equals cell 3 minus 5 x minus 2 x minus 3 end cell row blank equals cell negative 7 x end cell row blank blank blank row cell left parenthesis f cross times g right parenthesis left parenthesis x right parenthesis end cell equals cell f left parenthesis x right parenthesis cross times g left parenthesis x right parenthesis end cell row blank equals cell left parenthesis 2 x plus 3 right parenthesis cross times left parenthesis 3 minus 5 x right parenthesis end cell row blank equals cell 6 x minus 10 x squared plus 9 minus 15 x end cell row blank equals cell negative 10 x squared minus 9 x plus 9 end cell row blank blank blank end table end style 

 

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