Roboguru

Jika diketahui , maka rumus fungsi  adalah ....

Pertanyaan

Jika diketahui f open parentheses x close parentheses equals fraction numerator 3 x plus 2 over denominator x minus 3 end fraction comma space x not equal to 3, maka rumus fungsi open parentheses f ring operator f close parentheses open parentheses x close parentheses adalah ....

Pembahasan Soal:

Diketahui:

 f open parentheses x close parentheses equals fraction numerator 3 x plus 2 over denominator x minus 3 end fraction comma space x not equal to 3

Maka:

open parentheses f ring operator f close parentheses open parentheses x close parentheses equals f open parentheses f open parentheses x close parentheses close parentheses open parentheses f ring operator f close parentheses open parentheses x close parentheses equals f open parentheses fraction numerator 3 x plus 2 over denominator x minus 3 end fraction close parentheses open parentheses f ring operator f close parentheses open parentheses x close parentheses equals fraction numerator 3 open parentheses begin display style fraction numerator 3 x plus 2 over denominator x minus 3 end fraction end style close parentheses plus 2 over denominator open parentheses begin display style fraction numerator 3 x plus 2 over denominator x minus 3 end fraction end style close parentheses minus 3 end fraction open parentheses f ring operator f close parentheses open parentheses x close parentheses equals fraction numerator begin display style fraction numerator 9 x plus 6 over denominator x minus 3 end fraction end style plus 2 over denominator begin display style fraction numerator 3 x plus 2 over denominator x minus 3 end fraction end style minus 3 end fraction open parentheses f ring operator f close parentheses open parentheses x close parentheses equals fraction numerator begin display style fraction numerator 9 x plus 6 plus 2 open parentheses x minus 3 close parentheses over denominator x minus 3 end fraction end style over denominator begin display style fraction numerator 3 x plus 2 minus 3 open parentheses x minus 3 close parentheses over denominator x minus 3 end fraction end style end fraction open parentheses f ring operator f close parentheses open parentheses x close parentheses equals fraction numerator begin display style fraction numerator 9 x plus 6 plus 2 x minus 6 over denominator x minus 3 end fraction end style over denominator begin display style fraction numerator 3 x plus 2 minus 3 x plus 9 over denominator x minus 3 end fraction end style end fraction open parentheses f ring operator f close parentheses open parentheses x close parentheses equals fraction numerator begin display style fraction numerator 11 x over denominator x minus 3 end fraction end style over denominator begin display style fraction numerator 11 over denominator x minus 3 end fraction end style end fraction open parentheses f ring operator f close parentheses open parentheses x close parentheses equals fraction numerator 11 x over denominator x minus 3 end fraction times fraction numerator x minus 3 over denominator 11 end fraction open parentheses f ring operator f close parentheses open parentheses x close parentheses equals fraction numerator 11 x over denominator 11 end fraction open parentheses f ring operator f close parentheses open parentheses x close parentheses equals x  

Jadi, rumus fungsi open parentheses f ring operator f close parentheses open parentheses x close parentheses adalah x.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 Mei 2021

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