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Ditentukan fungsi-fungsi  sebagai berikut: ; ; dan . Tentukan: c.

Pertanyaan

Ditentukan fungsi-fungsi begin mathsize 14px style f comma space g comma space dan space h end style sebagai berikut: begin mathsize 14px style f left parenthesis x right parenthesis equals 3 x minus 1 end stylebegin mathsize 14px style g left parenthesis x right parenthesis equals square root of x end style; dan begin mathsize 14px style h left parenthesis x right parenthesis equals x squared plus 2 end style. Tentukan:

c. begin mathsize 14px style open parentheses f ring operator g close parentheses left parenthesis 4 right parenthesis comma space open parentheses f ring operator g close parentheses left parenthesis 2 right parenthesis comma space open parentheses f ring operator g close parentheses left parenthesis negative 2 right parenthesis comma space open parentheses h ring operator g close parentheses left parenthesis 3 right parenthesis comma space open parentheses h ring operator g close parentheses left parenthesis negative 3 right parenthesis end style 

  1. ...space 

  2. ...

Pembahasan Soal:

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 3 square root of x minus 1 end cell row cell open parentheses f ring operator g close parentheses open parentheses 4 close parentheses end cell equals cell 3 square root of 4 minus 1 end cell row blank equals cell 6 minus 1 end cell row blank equals 5 row blank blank blank end table end style 

Jadi, nilai begin mathsize 14px style bottom enclose begin bold style left parenthesis f ring operator g right parenthesis end style begin bold style left parenthesis 4 right parenthesis end style bold equals bold 5 end enclose end style.

begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x close parentheses equals 3 square root of x minus 1 open parentheses f ring operator g close parentheses open parentheses 2 close parentheses equals 3 square root of 2 minus 1 end style 

Jadi, nilai begin mathsize 14px style bottom enclose begin bold style left parenthesis f ring operator g right parenthesis end style begin bold style left parenthesis 2 right parenthesis end style bold equals bold 3 square root of bold 2 bold minus bold 1 end enclose end style.

begin mathsize 14px style open parentheses f ring operator g close parentheses open parentheses x close parentheses equals 3 square root of x minus 1 open parentheses f ring operator g close parentheses open parentheses negative 2 close parentheses equals 3 square root of negative 2 end root minus 1 end style 

Jadi, nilai begin mathsize 14px style bottom enclose begin bold style left parenthesis f ring operator g right parenthesis end style begin bold style left parenthesis negative 2 right parenthesis end style bold equals bold 3 square root of bold minus bold 2 end root bold minus bold 1 end enclose end style.

begin mathsize 14px style open parentheses h ring operator g close parentheses open parentheses x close parentheses equals x plus 2 open parentheses h ring operator g close parentheses open parentheses 3 close parentheses equals 3 plus 2 equals 5 end style

Jadi, nilai begin mathsize 14px style bottom enclose begin bold style left parenthesis h ring operator g right parenthesis end style begin bold style left parenthesis 3 right parenthesis end style bold equals bold 5 end enclose end style.

begin mathsize 14px style open parentheses h ring operator g close parentheses open parentheses x close parentheses equals x plus 2 open parentheses h ring operator g close parentheses open parentheses negative 3 close parentheses equals negative 3 plus 2 equals negative 1 end style

Jadi, nilai begin mathsize 14px style bottom enclose bold left parenthesis bold h bold ring operator bold g bold right parenthesis bold left parenthesis bold minus bold 3 bold right parenthesis bold equals bold minus bold 1 end enclose end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 21 Mei 2021

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