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Diketahui  dan . Tentukan: a.   b. Daerah asal

Diketahui f open parentheses x close parentheses equals 2 x plus 1 dan g open parentheses x close parentheses equals fraction numerator x over denominator square root of 3 x minus 2 end root end fraction. Tentukan:

a. open parentheses f cross times g close parentheses open parentheses x close parentheses 

b. Daerah asal open parentheses f cross times g close parentheses open parentheses x close parentheses

Jawaban:

a. Hasil dari open parentheses f cross times g close parentheses open parentheses x close parentheses didapatkan:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f cross times g close parentheses open parentheses x close parentheses end cell equals cell open parentheses 2 x plus 1 close parentheses cross times open parentheses fraction numerator x over denominator square root of 3 x minus 2 end root end fraction close parentheses end cell row blank equals cell fraction numerator 2 x squared plus x over denominator square root of 3 x minus 2 end root end fraction end cell end table 

Jadi, table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses f cross times g close parentheses open parentheses x close parentheses end cell equals cell fraction numerator 2 x squared plus x over denominator square root of 3 x minus 2 end root end fraction end cell end table.

b. Daerah asal open parentheses f cross times g close parentheses open parentheses x close parentheses didapatkan:

table attributes columnalign right center left columnspacing 0px end attributes row cell 3 x minus 2 end cell greater than 0 row cell 3 x end cell greater than 2 row x greater than cell 2 over 3 end cell end table 

Jadi, daerah asal open parentheses f cross times g close parentheses open parentheses x close parentheses adalah D equals open curly brackets x vertical line x greater than 2 over 3 comma space x element of straight real numbers close curly brackets.

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