Jika f(x)=2x+1 dan (g∘f)(x)=22x+2x+1, nilai dari g(3)= ....

Pertanyaan

Jika dan , nilai dari ....

  1. 4

  2. 5

  3. 7

  4. 8

  5. 10

F. Ayudhita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

Pembahasan

Pembahasan

begin mathsize 14px style open parentheses g ring operator f close parentheses open parentheses x close parentheses equals g open parentheses f open parentheses x close parentheses close parentheses g open parentheses 2 to the power of x plus 1 close parentheses equals 2 to the power of 2 x end exponent plus 2 to the power of x plus 1 end exponent end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell Misal space colon space 2 to the power of x plus 1 end cell equals p row cell 2 to the power of x end cell equals cell p minus 1 end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell g open parentheses 2 to the power of x plus 1 close parentheses end cell equals cell left parenthesis 2 to the power of x right parenthesis squared plus 2 to the power of x times 2 to the power of 1 end cell row cell g open parentheses p close parentheses end cell equals cell left parenthesis p minus 1 right parenthesis squared plus left parenthesis p minus 1 right parenthesis times 2 end cell row cell g open parentheses p close parentheses end cell equals cell left parenthesis p minus 1 right parenthesis squared plus 2 p minus 2 end cell row cell g open parentheses 3 close parentheses end cell equals cell left parenthesis 3 minus 1 right parenthesis squared plus 2 times 3 minus 2 end cell row blank equals cell 4 plus 6 minus 2 end cell row blank equals 8 row blank blank blank end table end style 

Jadi, jawaban yang tepat adalah D.

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