Roboguru

1. Diketahui fungsi  dengan  Tentukan: a.

Pertanyaan

1. Diketahui fungsi begin mathsize 14px style f colon straight R rightwards arrow straight R comma space g colon straight R rightwards arrow straight R comma space dan space h colon straight R rightwards arrow straight R comma end style dengan begin mathsize 14px style f left parenthesis x right parenthesis equals x plus 2 comma space g left parenthesis x right parenthesis equals 3 x minus 1 comma space dan space h left parenthesis x right parenthesis equals x squared minus 1. end style Tentukan:

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

Pembahasan Soal:

Perhatikan penghitungan berikut!

 begin mathsize 14px style left parenthesis h ring operator f ring operator g right parenthesis left parenthesis x right parenthesis equals h left parenthesis f left parenthesis g left parenthesis x right parenthesis right parenthesis left parenthesis h ring operator f ring operator g right parenthesis left parenthesis x right parenthesis equals h left parenthesis f left parenthesis 3 x minus 1 right parenthesis left parenthesis h ring operator f ring operator g right parenthesis left parenthesis x right parenthesis equals h left parenthesis left parenthesis 3 x minus 1 right parenthesis plus 2 right parenthesis left parenthesis h ring operator f ring operator g right parenthesis left parenthesis x right parenthesis equals h left parenthesis 3 x plus 1 right parenthesis left parenthesis h ring operator f ring operator g right parenthesis left parenthesis x right parenthesis equals left parenthesis 3 x plus 1 right parenthesis squared minus 1 space left parenthesis h ring operator f ring operator g right parenthesis left parenthesis x right parenthesis equals left parenthesis 9 x squared plus 6 x plus 1 right parenthesis minus 1 left parenthesis h ring operator f ring operator g right parenthesis left parenthesis x right parenthesis equals 9 x squared plus 6 x end style   

Jadi, fungsi begin mathsize 14px style open parentheses h ring operator f ring operator g close parentheses left parenthesis x right parenthesis equals 9 x squared plus 6 x. end style 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 13 Maret 2021

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