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Diketahui f ( x ) = 3 x + 4 dan g ( x ) = 2 x − 2 .Tentukan ( f ∘ g ) ( x ) dan ( g ∘ f ) ( x ) .

Diketahui  dan . Tentukan  dan .

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S. Yoga

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

 begin mathsize 14px style open parentheses f space ring operator space g close parentheses open parentheses x close parentheses equals left parenthesis g space ring operator space f right parenthesis left parenthesis x right parenthesis equals 6 x minus 10 end style 

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Pembahasan

Mencari Mencari ​​​​​​​ Jadi,

begin mathsize 14px style f left parenthesis x right parenthesis equals 3 x plus 4 end style
begin mathsize 14px style g left parenthesis x right parenthesis equals 2 x minus 2 end style

  • Mencari begin mathsize 14px style left parenthesis f space ring operator space g right parenthesis left parenthesis x right parenthesis end style

begin mathsize 14px style open parentheses f space ring operator space g close parentheses open parentheses x close parentheses equals f open square brackets g open parentheses x close parentheses close square brackets open parentheses f space ring operator space g close parentheses open parentheses x close parentheses equals 3 open square brackets g open parentheses x close parentheses close square brackets minus 4 blank open parentheses f space ring operator space g close parentheses open parentheses x close parentheses equals 3 open parentheses 2 x minus 2 close parentheses minus 4 blank open parentheses f space ring operator space g close parentheses open parentheses x close parentheses equals 6 x minus 6 minus 4 blank open parentheses f space ring operator space g close parentheses open parentheses x close parentheses equals 6 x minus 10 end style 

  • Mencari begin mathsize 14px style left parenthesis g space ring operator space f right parenthesis left parenthesis x right parenthesis end style​​​​​​​

begin mathsize 14px style open parentheses g space ring operator space f close parentheses open parentheses x close parentheses equals g open square brackets f open parentheses x close parentheses close square brackets open parentheses g space ring operator space f close parentheses open parentheses x close parentheses equals 2 open square brackets f open parentheses x close parentheses close square brackets minus 2 open parentheses g space ring operator space f close parentheses open parentheses x close parentheses equals 2 open parentheses 3 x minus 4 close parentheses minus 2 open parentheses g space ring operator space f close parentheses open parentheses x close parentheses equals 6 x minus 8 minus 2 open parentheses g space ring operator space f close parentheses open parentheses x close parentheses equals 6 x minus 10 end style 

Jadi, begin mathsize 14px style open parentheses f space ring operator space g close parentheses open parentheses x close parentheses equals left parenthesis g space ring operator space f right parenthesis left parenthesis x right parenthesis equals 6 x minus 10 end style 

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