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Diketahui fungsi  dan . Fungsi  adalah ....

Diketahui fungsi begin mathsize 14px style f open parentheses x close parentheses equals fraction numerator 2 x minus 4 over denominator 5 minus x end fraction comma space x not equal to 5 end style dan begin mathsize 14px style g open parentheses x close parentheses equals 3 x plus 7 end style. Fungsi begin mathsize 14px style open parentheses g ring operator f close parentheses open parentheses x close parentheses end style adalah ....

Jawaban:

begin mathsize 14px style 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 open parentheses f open parentheses x close parentheses close parentheses end cell row blank equals cell g open parentheses fraction numerator 2 x minus 4 over denominator 5 minus x end fraction close parentheses end cell row blank equals cell 3 times open parentheses fraction numerator 2 x minus 4 over denominator 5 minus x end fraction close parentheses plus 7 end cell row blank equals cell fraction numerator 6 x minus 12 over denominator 5 minus x end fraction plus 7 end cell row blank equals cell fraction numerator 6 x minus 12 plus 7 open parentheses 5 minus x close parentheses over denominator 5 minus x end fraction end cell row blank equals cell fraction numerator 6 x minus 12 plus 35 minus 7 x over denominator 5 minus x end fraction end cell row blank equals cell fraction numerator 23 minus x over denominator 5 minus x end fraction end cell end table end style 

Jadi, fungsi begin mathsize 14px style open parentheses g ring operator f close parentheses open parentheses x close parentheses equals fraction numerator 23 minus x over denominator 5 minus x end fraction end style.

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