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Pertanyaan

Diketahui fungsi begin mathsize 14px style f open parentheses 2 x plus 1 close parentheses equals fraction numerator x minus 5 over denominator 2 x minus 3 end fraction comma space x not equal to 3 over 2 end style dan begin mathsize 14px style g open parentheses x close parentheses equals fraction numerator x plus 6 over denominator x minus 4 end fraction comma space x not equal to 4 end style. Tentukan rumus fungsi:

a. begin mathsize 14px style open parentheses f plus g close parentheses open parentheses x close parentheses end style.

P. Afrisno

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Pembahasan

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell size 14px f begin mathsize 14px style left parenthesis 2 x plus 1 right parenthesis end style size 14px equals fraction numerator size 14px x size 14px minus size 14px 5 over denominator size 14px 2 size 14px x size 14px minus size 14px 3 end fraction end cell row cell size 14px f begin mathsize 14px style left parenthesis 2 x plus 1 right parenthesis end style end cell size 14px equals cell fraction numerator begin display style size 14px 1 over size 14px 2 end style begin mathsize 14px style left parenthesis 2 x plus 1 right parenthesis end style size 14px minus begin display style size 14px 11 over size 14px 2 end style over denominator begin mathsize 14px style left parenthesis 2 x plus 1 right parenthesis end style size 14px minus size 14px 4 end fraction end cell row cell size 14px f size 14px left parenthesis size 14px x size 14px right parenthesis end cell size 14px equals cell fraction numerator begin display style size 14px 1 over size 14px 2 end style size 14px x size 14px minus begin display style size 14px 11 over size 14px 2 end style over denominator size 14px x size 14px minus size 14px 4 end fraction end cell row cell size 14px f size 14px left parenthesis size 14px x size 14px right parenthesis end cell size 14px equals cell fraction numerator size 14px x size 14px minus size 14px 11 over denominator size 14px 2 size 14px x size 14px minus size 14px 8 end fraction end cell row cell begin mathsize 14px style left parenthesis f plus g right parenthesis end style begin mathsize 14px style left parenthesis x right parenthesis end style end cell size 14px equals cell fraction numerator size 14px x size 14px minus size 14px 11 over denominator size 14px 2 size 14px x size 14px minus size 14px 8 end fraction size 14px plus fraction numerator size 14px x size 14px plus size 14px 6 over denominator size 14px x size 14px minus size 14px 4 end fraction end cell row blank size 14px equals cell fraction numerator size 14px x size 14px minus size 14px 11 size 14px plus size 14px 2 begin mathsize 14px style left parenthesis x plus 6 right parenthesis end style over denominator size 14px 2 size 14px x size 14px minus size 14px 8 end fraction end cell row blank size 14px equals cell fraction numerator size 14px 3 size 14px x size 14px minus size 14px 5 over denominator size 14px 2 size 14px x size 14px minus size 14px 8 end fraction end cell end table 

Dengan demikian, diperoleh begin mathsize 14px style open parentheses f plus g close parentheses open parentheses x close parentheses equals fraction numerator 3 x minus 5 over denominator 2 x minus 8 end fraction end style.

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Diketahui fungsi-fungsi f dan g masing-masing ditentukan dengan rumus f(x)=x2−3x−4 dan g(x)=x−4. Tentukan fungsi-fungsi berikut ini serta daerah asalahnya, a. (f+g)(x)

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