Roboguru

Diketahui fungsi dan yang dirumuskan oleh dan Rumus fungsi adalah

Pertanyaan

Diketahui fungsi f spacedan g spaceyang dirumuskan oleh f left parenthesis x right parenthesis equals 2 x minus 4 spacedan open parentheses g ring operator f close parentheses left parenthesis x right parenthesis equals 4 x squared minus 24 x plus 32.Rumus fungsi g spaceadalah g left parenthesis x right parenthesis equals....

  1. x squared minus 4 x plus 8 space

  2. x squared minus 4 x minus 8 space

  3. x squared plus 4 x plus 8 space

  4. x squared plus 4 x space

  5. x squared minus 4 x space

Pembahasan Soal:

Diketahui f left parenthesis x right parenthesis equals 2 x minus 4 spacedan open parentheses g ring operator f close parentheses left parenthesis x right parenthesis equals 4 x squared minus 24 x plus 32. Berdasarkan definisi fungsi komposisi maka

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses g ring operator f close parentheses open parentheses x close parentheses end cell equals cell g open parentheses f open parentheses x close parentheses close parentheses end cell row cell 4 x squared minus 24 x plus 32 end cell equals cell g open parentheses 2 x minus 4 close parentheses end cell row cell 4 open parentheses x plus 4 close parentheses squared minus 24 open parentheses x plus 4 close parentheses plus 32 end cell equals cell g open parentheses 2 x minus 4 plus 4 close parentheses end cell row cell 4 open parentheses x squared plus 8 x plus 16 close parentheses minus 24 x minus 96 plus 32 end cell equals cell g open parentheses 2 x close parentheses end cell row cell 4 x squared plus 32 x plus 64 minus 24 x minus 64 end cell equals cell g open parentheses 2 x close parentheses end cell row cell 4 x squared plus 8 x end cell equals cell g open parentheses 2 x close parentheses end cell row cell 4 open parentheses x over 2 close parentheses squared plus stack up diagonal strike 8 with 4 on top open parentheses fraction numerator x over denominator up diagonal strike 2 end fraction close parentheses end cell equals cell g open parentheses fraction numerator up diagonal strike 2 x over denominator up diagonal strike 2 end fraction close parentheses end cell row cell up diagonal strike 4 cross times fraction numerator x squared over denominator up diagonal strike 4 end fraction plus 4 x end cell equals cell g open parentheses x close parentheses end cell row cell x squared plus 4 x end cell equals cell g open parentheses x close parentheses end cell end table


Oleh karena itu, jawaban yang benar adalah D.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 03 Juni 2021

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