Fungsi f:R→R dan g:R→R dengan f(x)=x−3 dan g(x)=x2+5. Jika (g∘f)(x)=(f∘g)(x), maka x=...

Pertanyaan

Fungsi begin mathsize 14px style f colon R rightwards arrow R end style dan begin mathsize 14px style g colon R rightwards arrow R end style dengan begin mathsize 14px style f open parentheses x close parentheses equals x minus 3 end style dan begin mathsize 14px style g open parentheses x close parentheses equals x squared plus 5 end style. Jika begin mathsize 14px style open parentheses g ring operator f close parentheses open parentheses x close parentheses equals open parentheses f ring operator g close parentheses open parentheses x close parentheses end style, maka begin mathsize 14px style x equals... end style 

L. Marlina

Master Teacher

Mahasiswa/Alumni Institut Teknologi Bandung

Jawaban terverifikasi

Jawaban

 begin mathsize 14px style x equals 2 end style.

Pembahasan

begin mathsize 14px style space space space space space space space space space left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis equals left parenthesis f ring operator g right parenthesis left parenthesis x right parenthesis space space space space space space space space space space space space space g open parentheses f open parentheses x close parentheses close parentheses equals f open parentheses g open parentheses x close parentheses close parentheses space space space space space space space space space space space g open parentheses x minus 3 close parentheses equals f open parentheses x squared plus 5 close parentheses space space space space space space open parentheses x minus 3 close parentheses squared plus 5 equals x squared plus 5 minus 3 space x squared minus 6 x plus 9 plus 5 equals x squared plus 2 space space space space space space space space minus 6 x plus 14 equals 2 space space space space space space space space space space space space space space space space minus 6 x equals negative 12 space space space space space space space space space space space space space space space space space space space space space x equals 2 end style   

Jadi, begin mathsize 14px style x equals 2 end style.

112

4.6 (13 rating)

Pertanyaan serupa

Diketahui f(x)=x+354​ dan g(x)=2x+7, tentukan : a. (f∘g)(x) dan (g∘f)−1(x) b. Jika f(a)=a carilah nilai

73

5.0

Jawaban terverifikasi

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