Pertanyaan

Diketahui fungsi f ( x ) = 4 1 lo g ( 2 x 2 + x + 8 ) . Nilai f ( 8 ) = ...

Diketahui fungsi $f (x) =^{\frac{1}{4}} lo g (2 x^{2} + x + 8)$ . Nilai $f (8) = ...$

L. Rante

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

Diketahui fungsi . Substitusi nilai , diperoleh Jadi, nilai . Dengan demikian, jawaban yang tepat adalah A.

Diketahui fungsi f open parentheses x close parentheses equals to the power of 1 fourth end exponent log space open parentheses 2 x squared plus x plus 8 close parentheses . Substitusi nilai x equals 8 , diperoleh

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell f open parentheses 8 close parentheses equals to the power of 1 fourth end exponent log space open parentheses 2 open parentheses 8 close parentheses squared plus open parentheses 8 close parentheses plus 8 close parentheses end cell row blank blank cell equals to the power of 1 fourth end exponent log space open parentheses 128 plus 8 plus 8 close parentheses end cell row blank blank cell equals to the power of 1 fourth end exponent log space open parentheses 128 plus 8 plus 8 close parentheses end cell row blank blank cell equals to the power of 1 fourth end exponent log space 144 end cell row blank blank cell equals to the power of 1 fourth end exponent log space open parentheses 16 cross times 9 close parentheses end cell row blank blank cell equals to the power of 1 fourth end exponent log space 16 plus to the power of 1 fourth end exponent log space 9 end cell row blank equals cell space to the power of 4 to the power of negative 1 end exponent end exponent log space 4 squared plus to the power of 2 to the power of negative 2 end exponent end exponent log space 3 squared end cell row blank equals cell fraction numerator 2 over denominator negative 1 end fraction cross times to the power of 4 log space 4 plus fraction numerator 2 over denominator negative 2 end fraction cross times squared log space 3 end cell row blank equals cell negative 2 cross times 1 plus open parentheses negative 1 close parentheses cross times squared log space 3 end cell row blank equals cell negative 2 minus squared log space 3 end cell row blank equals cell negative squared log space 3 minus 2 end cell end table$

Jadi, nilai f open parentheses 8 close parentheses equals minus squared log space 3 minus 2 .

Dengan demikian, jawaban yang tepat adalah A.