Roboguru

Diketahui . Jika , daerah asal  adalah ...

Pertanyaan

Diketahui f left parenthesis x right parenthesis equals fraction numerator 2 x plus 1 over denominator x minus 3 end fraction space dan space g left parenthesis x right parenthesis equals fraction numerator x plus 2 over denominator 7 end fraction. Jika h left parenthesis x right parenthesis equals left parenthesis f plus g right parenthesis left parenthesis x right parenthesis, daerah asal h left parenthesis x right parenthesis adalah ...

Pembahasan Soal:

Diketahui:

f left parenthesis x right parenthesis equals fraction numerator 2 x plus 1 over denominator x minus 3 end fraction space dan space g left parenthesis x right parenthesis equals fraction numerator x plus 2 over denominator 7 end fraction

Mencari h left parenthesis x right parenthesis equals left parenthesis f plus g right parenthesis left parenthesis x right parenthesis:

table attributes columnalign right center left columnspacing 0px end attributes row cell h open parentheses x close parentheses end cell equals cell open parentheses f plus g close parentheses open parentheses x close parentheses equals f open parentheses x close parentheses plus g open parentheses x close parentheses end cell row cell h open parentheses x close parentheses end cell equals cell fraction numerator 2 x plus 1 over denominator x minus 3 end fraction plus fraction numerator x plus 5 over denominator 7 end fraction end cell row blank equals cell fraction numerator open parentheses 2 x plus 1 close parentheses times 7 over denominator open parentheses x minus 3 close parentheses times 7 end fraction plus fraction numerator open parentheses x plus 5 close parentheses open parentheses x minus 3 close parentheses over denominator 7 open parentheses x minus 3 close parentheses end fraction end cell row blank equals cell fraction numerator open parentheses 2 x plus 1 close parentheses times 7 plus open parentheses x plus 5 close parentheses open parentheses x minus 3 close parentheses over denominator 7 open parentheses x minus 3 close parentheses end fraction end cell row blank equals cell fraction numerator 14 x plus 7 plus x squared plus 2 x minus 15 over denominator 7 x minus 21 end fraction end cell row blank equals cell fraction numerator x squared plus 16 x minus 8 over denominator 7 x minus 21 end fraction end cell end table 

Mencari daerah asal h left parenthesis x right parenthesis:

table attributes columnalign right center left columnspacing 0px end attributes row cell 7 x minus 21 end cell not equal to 0 row cell 7 x end cell not equal to 21 row x not equal to 3 row cell straight D subscript h end cell equals cell open curly brackets x vertical line x not equal to 3 comma space x element of straight real numbers close curly brackets end cell end table 

Jadi, daerah asal h left parenthesis x right parenthesis adalah Error converting from MathML to accessible text..

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 Mei 2021

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