Pertanyaan

J ika f ( n ) = 2 n + 2 6 n − 4 d an g ( n ) = 1 2 n − 1 , n a d a l ah bi l an g an a s l i , maka g ( n ) f ( n ) a d a l ah ....

$J ika f (n) = 2^{n + 2} 6^{n - 4} d an g (n) = 1 2^{n - 1}, n a d a l ah bi l an g an a s l i, maka \frac{f ( n )}{g ( n )} a d a l ah ....$

Belajar bareng Champions

Brain Academy Champions

Hanya di Brain Academy

Habis dalam

Klaim

D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

$f left parenthesis x right parenthesis space equals space 2 to the power of n plus 2 end exponent 6 to the power of n minus 4 end exponent space d a n space g left parenthesis n right parenthesis equals 12 to the power of n minus 1 end exponent fraction numerator f left parenthesis n right parenthesis over denominator g left parenthesis n right parenthesis end fraction equals fraction numerator 2 to the power of n plus 2 end exponent 6 to the power of n minus 4 end exponent over denominator 12 to the power of n minus 1 end exponent end fraction space space space space space space space space space equals fraction numerator 2 to the power of n.2 squared.12.6 to the power of n over denominator 6 to the power of 4.12 to the power of n end fraction space space space space space space space space space equals fraction numerator left parenthesis 2.6 right parenthesis to the power of n.2 squared.12 over denominator 2 to the power of 4.3 to the power of 4.12 to the power of n end fraction space space space space space space space space space equals fraction numerator 12 to the power of n.2 squared.2 squared.3 over denominator 2 to the power of 4.3 to the power of 4.12 to the power of n end fraction space space space space space space space space space equals fraction numerator 2 to the power of 4.3 over denominator 2 to the power of 4.3 to the power of 4 end fraction space space space space space space space space space equals 1 over 3 cubed space space space space space space space space space equals 1 over 27$