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Dari fungsi  dan  diketahui  dan , supaya , nilai ...

Dari fungsi f dan g diketahui f left parenthesis x right parenthesis equals 2 x squared plus 3 x minus 5 dan g left parenthesis x right parenthesis equals 3 x minus 2, supaya left parenthesis g ring operator f right parenthesis left parenthesis a right parenthesis equals negative 11, nilai a yang positif adalah...

Jawaban:

Akan ditentukan left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis 

table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis end cell equals cell g left parenthesis f left parenthesis x right parenthesis right parenthesis end cell row blank equals cell g left parenthesis 2 x squared plus 3 x minus 5 right parenthesis end cell row blank equals cell 3 left parenthesis 2 x squared plus 3 x minus 5 right parenthesis minus 2 end cell row blank equals cell 6 x squared plus 9 x minus 15 minus 2 end cell row blank equals cell 6 x squared plus 9 x minus 17 end cell end table  

Akan ditentukan nilai a 

table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis g ring operator f right parenthesis left parenthesis a right parenthesis end cell equals cell 6 a squared plus 9 a minus 17 end cell row cell negative 11 end cell equals cell 6 a squared plus 9 a minus 17 end cell row 0 equals cell 6 a squared plus 9 a minus 17 plus 11 end cell row 0 equals cell 6 a squared plus 9 a minus 6 end cell row 0 equals cell 2 a squared plus 3 a minus 2 end cell row 0 equals cell left parenthesis 2 a minus 1 right parenthesis left parenthesis a plus 2 right parenthesis end cell end table 

table attributes columnalign right center left columnspacing 0px end attributes row cell 2 a minus 1 end cell equals 0 row cell 2 a end cell equals 1 row a equals cell 1 half end cell end table atau table attributes columnalign right center left columnspacing 0px end attributes row cell a plus 2 end cell equals 0 row a equals cell negative 2 end cell end table 

Jadi, nilai a yang positif adalah 1 half.

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