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Diketahui fungsi ..

Diketahui fungsi begin mathsize 14px style f open parentheses x close parentheses equals 5 x minus 2 end style dan begin mathsize 14px style g open parentheses x close parentheses equals 2 x squared plus 1 end style. Nilai dari komposisi fungsi begin mathsize 14px style open parentheses g ring operator f close parentheses open parentheses 2 close parentheses equals end style

 

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Diketahui:

Fungsi begin mathsize 14px style f open parentheses x close parentheses equals 5 x minus 2 end style dan begin mathsize 14px style g open parentheses x close parentheses equals 2 x squared plus 1 end style.

Tentukan terlebih dahulu komposisi fungsi begin mathsize 14px style open parentheses g ring operator f close parentheses open parentheses x close parentheses end style seperti berikut:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses g ring operator f close parentheses open parentheses x close parentheses end cell equals cell 2 open parentheses 5 x minus 2 close parentheses squared plus 1 end cell row blank equals cell 2 open parentheses 25 x squared minus 20 x plus 4 close parentheses plus 1 end cell row blank equals cell 50 x squared minus 40 x plus 8 plus 1 end cell row blank equals cell 50 x squared minus 40 x plus 9 end cell end table end style

Kemudian substitusi begin mathsize 14px style x equals 2 end style seperti berikut:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses g ring operator f close parentheses open parentheses x close parentheses end cell equals cell 50 x squared minus 40 x plus 9 end cell row cell open parentheses g ring operator f close parentheses open parentheses 2 close parentheses end cell equals cell 50 open parentheses 2 close parentheses squared minus 40 open parentheses 2 close parentheses plus 9 end cell row blank equals cell 50 open parentheses 4 close parentheses minus 80 plus 9 end cell row blank equals cell 200 minus 80 plus 9 end cell row blank equals cell 120 plus 9 end cell row blank equals 129 end table end style

Maka, nilai komposisi fungsi dari begin mathsize 14px style open parentheses g ring operator f close parentheses open parentheses 2 close parentheses equals 129 end style.

 

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