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Diketahui  dan , rumus fungsi

Diketahui begin mathsize 14px style f left parenthesis x minus 2 right parenthesis equals x squared plus 3 x end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals 4 x plus 1 end style, rumus fungsi begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x close parentheses equals... end style 

Jawaban:

begin mathsize 14px style f left parenthesis x minus 2 right parenthesis equals x squared plus 3 x end style 

misal begin mathsize 14px style x minus 2 equals a left right double arrow x equals a plus 2 end style 

begin mathsize 14px style f open parentheses a close parentheses equals open parentheses a plus 2 close parentheses squared plus 3 open parentheses a plus 2 close parentheses space space space space space space space equals a squared plus 4 a plus 4 plus 3 a plus 6 f open parentheses a close parentheses space equals a squared plus 7 a plus 10 f open parentheses x close parentheses equals x squared plus 7 x plus 10 end style 

         begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x close parentheses equals f open parentheses g open parentheses x close parentheses close parentheses space space space space space space space space space space space space space space space equals f open parentheses 4 x plus 1 close parentheses space space space space space space space space space space space space space space space equals open parentheses 4 x plus 1 close parentheses squared plus 7 open parentheses 4 x plus 1 close parentheses plus 10 space space space space space space space space space space space space space space space equals 16 x squared plus 8 x plus 1 plus 28 x plus 7 plus 10 space space space space space space space space space space space space space space space equals 16 x squared plus 36 x plus 18 end style 

Jadi, rumus fungsi begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x close parentheses equals 16 x squared plus 36 x plus 18 end style 

 

 

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