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Jika , rumus fungsi  adalah...

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

Jawaban:

Perhatikan penghitungan berikut!

 begin mathsize 14px style open parentheses f over g close parentheses open parentheses x close parentheses equals fraction numerator f left parenthesis x right parenthesis over denominator g left parenthesis x right parenthesis end fraction open parentheses f over g close parentheses open parentheses x close parentheses equals fraction numerator 2 x minus 1 over denominator 4 x squared plus 4 x minus 3 end fraction open parentheses f over g close parentheses open parentheses x close parentheses equals fraction numerator 2 x minus 1 over denominator begin display style 1 fourth open parentheses 4 x minus 2 close parentheses open parentheses 4 x plus 6 close parentheses end style end fraction open parentheses f over g close parentheses left parenthesis x right parenthesis equals fraction numerator 2 x minus 1 over denominator begin display style open parentheses x minus 1 half close parentheses open parentheses 4 x plus 6 close parentheses end style end fraction space comma space x not equal to 1 half end style    

Jadi, rumus fungsinya adalah begin mathsize 14px style open parentheses f over g close parentheses left parenthesis x right parenthesis equals fraction numerator 2 x minus 1 over denominator begin display style open parentheses x minus 1 half close parentheses open parentheses 4 x plus 6 close parentheses end style end fraction space comma space x not equal to 1 half end style.   

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