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Diketahui fungsi dengan  dan . Tentukan: a.

Diketahui fungsi dengan begin mathsize 14px style f left parenthesis x right parenthesis equals 3 x plus 5 end style dan begin mathsize 14px style g left parenthesis x right parenthesis equals fraction numerator 1 over denominator x plus 2 end fraction end style. Tentukan:

a. begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x close parentheses end style 

Jawaban:

Diketahui:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell f left parenthesis x right parenthesis equals 3 x plus 5 end cell row blank blank cell g left parenthesis x right parenthesis equals fraction numerator 1 over denominator x plus 2 end fraction end cell end table end style 

Sehingga diperoleh:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f ring operator g close parentheses open parentheses x close parentheses end cell equals cell f open parentheses g open parentheses x close parentheses close parentheses end cell row blank equals cell 3 times g open parentheses x close parentheses plus 5 end cell row blank equals cell 3 times fraction numerator 1 over denominator x plus 2 end fraction plus 5 end cell row blank equals cell fraction numerator 3 over denominator x plus 2 end fraction plus 5 end cell row blank equals cell fraction numerator 3 plus 5 x plus 10 over denominator x plus 2 end fraction end cell row blank equals cell fraction numerator 5 x plus 13 over denominator x plus 2 end fraction end cell end table end style 

Dengan demikian diperoleh begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses f ring operator g close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses x close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 5 x plus 13 over denominator x plus 2 end fraction end cell end table end style.

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